How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5

Answers

Answer 1

Answer:

[tex](2,1)[/tex]

Step-by-step explanation:

Let's first write down the first in traditional form:

[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]

At this point, let's choose the order we want to do it.

Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra

[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]

Eliminating y: Let's simply add the two equations together. Rest is simple algebra

[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]


Related Questions

1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1

Answers

Answer:

A. y= -x^2 + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

2

3

1

0

0

1

1

0

2

3

________________________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

2

3

1

0

0

1

1

0

2

3

__________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

_________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

MP Construct Arguments Raul finds a way to divide
48 building blocks into 6 equal groups. Jerry finds a
way to divide 48 building blocks into 8 equal groups.
Whose way has the greater number of building blocks
in each group? Explain.

Answers

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

PLS HELP ASAP !!

i'll mark as brainliest if u answer:))

Answers

Answer:

A = 60

B:25

Step-by-step explanation:

A looks about 1/3 of a 180

B looks about 1/3 of A

Is this a function?

Answers

Answer:

No, because if you do the vertical line test, the line will hit that two times, Therefore it is not a function.

Step-by-step explanation:

Can someone pls help me
Please show your work

Answers

Answer:

-5=x

Step-by-step explanation:

Angle 105º = (110+x)º

Solve for x.

105=110+x

Subtract 110 from both sides of the equation.

-5=x

Hope this helps :)

-5

110+x=105
-110 -110

X=-5

HELP ME PLEASE!!!!!!!!!!!!

Answers

i frist 1 1 2

Step-by-step explanation:

Y

Answer:

Step-by-step explanation:

i think for number 1 is growth and number 2 decay and for 3 growth...hope this helps!

The width of a rectangle measures (7f-4)(7f−4) centimeters, and its length measures (2f+5)(2f+5) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

Perimeter is 18f+2

Step-by-step explanation:

Given : rectangle having width (7f-4) and length (2f+5)

To Find : Expression For Perimeter = ?

Solution : We know that, perimeter  of rectangle is 2(L+B)

-> 2(7f-4+2f+5)

-> 2(9f+1)

-> 18f + 2

I hope this helps.

In a fraction, the value that represents the number of parts as compared to the whole is the ______

Answers

Answer:

Its the Denominator.  Hope I helped please mark brainliest if you can and thanks! <3

Step-by-step explanation:

Answer:

21

Step-by-step explanation

OUI BONSEIUR

pls give all numbers

Answers

Turkey dinner has to be zero as 0/? = 0 and it would be undefined if it was ?/0

Dinner plate would be 0 as ? * 0 * ? = 0

Radish is ?^2 cake as solving for radish will get that

Cake will be 4 as turkey is 0

Since cake is 4, radish is 16

Let’s plug them in to figure it out

0 / 4 = 0 ✅
16 * 0 * 4 = 0 ✅
4 = 16 / 4 ✅
4 / 4 = 0 + 1 ✅
0 + 16 * 4 = 64

Turkey = 0
Cake = 4
Radish = 16
Dinner plate = 0
? = 64

simplify 12b+4b^2-10b

Answers

Answer:

4 b 2 + 2 b

Step-by-step explanation:   hope it helps

How to solve quadratic using completing the square.

Answers

Answer:

You can solve quadratic equations by completing the square. Completing the square involves creating a perfect square trinomial from the quadratic equation, and then solving that trinomial by taking its square root.

Step-by-step explanation:

How to use a protractor.

Answers

Answer:

You can see below!

Step-by-step explanation:

Basically, a protractor is used to measure angles. You probably have a semi-circle shaped one. Looking at the bottom middle of the protractor should show you lines intersecting each other at a point. If you have an angle on a piece of paper, place that point on the ends of the line segments making up the angle. Then, check where each line of the angle crosses the numbers on the outer rim. That shows you the measure of the angle you are examining. It can be a bit tricky, but with practice you'll get it in no time!

100 POINTS WHEN ANSWERED AND BRAINLIEST GIVEN TO FIRST CORRECT ANSWER WHENEVER IT LETS ME

Hello there, below here is an attached file of the particular question I have. Thank you so much for coming here to answer! I appreciate you, and I hope have a good day or night!

Answers

Answer:

a: 0

b: 1,3

c: 2

Step-by-step explanation:

a: 4 is the y intercept meaning 0 is the number of seconds when the ball is 4 feet in the air

b: to easily find this, we can graph.

1st screenshot is for B.

We see that y=52 intersects twice with the graph, meaning the ball was at 52 feet twice. the times are 1 second and 3 seconds

a: we graph again, but with y=68 we see that it only intersects once. at x=2.

A sweatshirt at Macy’s costs $68. If you have a 30% coupon, how much will the sweatshirt be after the discount is applied?

Answers

Answer:

$47.60

Step-by-step explanation:

Answer:

$47

Step-by-step explanation:

Solve for j.

j − –95 = 822

j =

Answers

Answer:

j = 727

Step-by-step explanation:

j - (-95) = 822j + 95 = 822j = 822 - 95j = 727

what is the decimal of 967.567

Answers

Answer:

I believe its 0.567 because its the decimal part of the whole number (i hope thats what you asked)

Answer:

567

967---------

1000

Step-by-step explanation:

multiply to remove 3 decimals

what is 5 x 1284
plz answer thanks

Answers

Answer:

6420

Step-by-step explanation:

hope this helps

10x is greater than or equal to 120 cm^2

Answers

Answer:

x greater than or equal to 12cm^2

Step-by-step explanation:

The system of equations y = -2x + 3 and y = x is graphed. What is the solution to the system of equations? ( graph above)

(0,0)

(1,1)

no solution

infinitely many solutions ​

Answers

the answer is y=1x because you have to use rise over run and the y intercept is 0.

What value of n make the equation true ?
-15 n + 7 = 2

Answers

Exact Form:
x=1/3
Decimal Form:
x=0.33333333

_______ x 0.7 = 0.287

Answers

Answer:

0.41

Step-by-step explanation:

Simply reverse it:

0.287 / 0.7 = 0.41

Answer:

0.41 is the answer for _______×0.7=0.287

Please help i will give brainliest :)

Answers

To find slope:

m = (212-32)/(100-0) = 180/100 = 1.8

We can see that the y intercept is 32, because they give you the point (0, 32).

So y = 1.8x + 32 is the equation in slope intercept form.

table value equation for y=2x + 4

Answers

Answer:

below

Step-by-step explanation:

All we need to do is substitute the x values given in the table to find each value of y thats blank.

When x = -1,

y = 2(-1) + 4

y = -2 + 4

y = 2

When x = 1,

y = 2(1) + 4

y = 2 + 4

y = 6

Whe x = 2,

y = 2(2) + 4

y = 4 + 4

y = 8

Best of Luck!

What are the roots of the equation x²+2x+17=0 in simplest a+bi form?​

Answers

Answer:

  -1 ±4i

Step-by-step explanation:

The quadratic can be written in vertex form as ...

  x² +2x +17 = 0

  (x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square

  (x +1)² = -16 . . . . . . . . . . . . subtract 16

  x +1 = ±√(-16) = ±4i . . . . take the square root

  x = -1 ±4i . . . . . . . . . . . subtract 1

The roots of the equation are x = -1-4i and x = -1+4i.

_____

Additional comment

It can be worthwhile to remember the form of a perfect square trinomial:

  (x +a)² = x² +2ax +a²

If you know the coefficient of x, you can use half of it as the constant in each binomial factor.

In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.

The roots of the equation  [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].

To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.

The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

We have a = 1, b = 2, and c = 17.

Substituting these values into the quadratic formula, we get:

[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]

[tex]x = \frac{-2 \pm 8i}{2}[/tex]

[tex]x = -1 \pm 4i[/tex]

So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ6

Identify the slope and y-intercept for 3x + 4y = 9.

Answers

The answer is:

Slope: -3/4

Y-intercept: (0, 9/4)

what is the formula for surface area of a pyramid?

what is the forumla for surface area of a square ​

Answers

for pysamid is ph+B2

hope it helps

The regular hexagon has a radius of 4 in. A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? 24 in. 2 42 in. 2 48 in. 2 84 in. 2.

Answers

The approximate area of the hexagon is 48 square inches.

Given that the regular hexagon has a radius of 4 inches, to determine what is the approximate area of the hexagon the following calculation must be performed:

Area of a regular hexagon = (perimeter x apothem) / 2 (4 x 6 x 4) / 2 = X (24 x 4) / 2 = X 48 = X

Therefore, the approximate area of the hexagon is 48 square inches.

Learn more about maths in https://brainly.com/question/18500585

Which expression is undefined? (-4+0) O A. OB. 0 : 11 O c. OD. –​

Answers

Answer:

C

Step-by-step explanation:

Third expression asks you to basically divide by zero. That is, find a number that multiplied by 0 gives you 3, which is impossible.

Hello!

-----------------------------------------------------------------------------------------------------------------

Option C

Division by 0 is undefined.

6-6=0, and any expression that has 0 it its denominator is undefined.

I hope it helps you! (:

~SparklingFlower

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0.0346 written in standard form​

Answers

Answer:

3.46x10-2

×

10

2

3.46

×

10

2

Explanation:

a number expressed in

standard form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

a

×

10

n

2

2

−−−−−−−−−−−−

where

1

a

<

10

and n is an integer

express

0.0346

as a number between 1 and 10

3

46

we now have to move the decimal point 2 places to

the left to retain equality

move to the right

then n is positive

move to the left ←

then n is negative

0.0346

=

3.46

×

10

2

4 + 4 + 4 + 4 + 4 if it is converted into multiplication form it becomes​

Answers

The answer would be 5x4
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