An unknown number y is 12 more than an unknown number x. The number y is also x less than 17. The equations to find x and y are shown below. y = x + 12 y = −x + 17 Which of the following statements is a correct step to find x and y? Multiply the equations to eliminate y. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis. Add the equations to eliminate x.

In order to solve a system of equations such as this, I would first rewrite the equations.

y - x + 12
y + x = 17

To solve any system of equations, you want to eliminate one variable so you can solve for the other, so by adding the two equations together you will be eliminating x and solving for y.

Thus, the answer is the last phrase: add the equations to eliminate x

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Yakavi Yakavi · Answer 2 · 2022-05-12T13:50:37+02:00

The last phrase add the equations to eliminate x is the correct step.

What is System of equations?

"A System of equations is a set of one or more equations involving a number of variables. For a system to have a unique solution, the number of equations must equal the number of unknowns. ".

For the given situation,

The equations are given as

[tex]y = x + 12[/tex] and

[tex]y = -x + 17[/tex]

On adding these two equations we get,

⇒[tex]2y=29[/tex]

⇒[tex]y= \frac{29}{2}[/tex]

On substituting the value of y in equation 1, we get

⇒[tex]x=\frac{5}{2}[/tex]

Thus by adding these two equations, we can eliminate x and find the value of y.

Hence, we can conclude that the last phrase add the equations to eliminate x is the correct step.

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