Question

The equations x + 4 = y and 2x + 2 = y form a system that has ...?

A. one solution
B. no solution
C. an infinite number if solutions​

Answer 1

A. One solution

Explanation:

We are given a system of equations and are asked to find whether it has a certain solution.

y = x + 4

2x + 2 = y

Since both equations end with y, we can substitute them from back to back.

x + 4 = 2x + 2

Subtract 2 from both sides :

x + 2 = 2x

Subtract x from both sides :

x = 2

Solve for y now that you have x by subtituting x with the value.

(2) + 4 = y

2(2) + 2 = y

6 = y

6 = y

Therefore this means that the system of equations is one solution because it intersects at one point (2, 6).

Check the graph.

Answer 2

x=2 and y=6 so it’s two solutions

If you have a option that says two solutions then it is that if you don’t have it then it is an infinite number of solutions