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.

Question

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.

nathaliama13 · Answer

@Michele_Laino Are you busy? can you please explain to me how I solve this?

anonymous · Answer

Add the equations to eliminate x.

anonymous · Answer

By eye ball, y = 29/2

nathaliama13 · Answer

I understand now. Thanks so much @robtobey

michele_laino · Answer

If I add those equations, I get:
$$\Large  y + y = x + 12 - x + 17$$
please simplify

nathaliama13 · Answer

$$y ^{2} = 29/2 ?? $$

michele_laino · Answer

no, we have:
$$\Large  2y = 29$$
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