Question

Find the solution(s) to the system of equations. Select all that apply.

15 y=x-2x-3
y=x-3
A. (0, -3)
B. (0,3)
C. (1,-4)
D. (3,0)​

Answer 1

The points (3, 0) and (0, -3) would be the two solutions.

Hence, options A and D are correct.

Explanation:

We know that when the system of equations meets at a point on a coordinate plane, that point or points will be the required set of solutions.

The point where the system of equations meets is called the point of intersection.

If we closely observe, the graph indicates that the graph of two equations meets at the following two points:

• at x = 3 and y = 0

• at x = 0, y = -3

Therefore, the points (3, 0) and (0, -3) would be the two solutions.

Hence, options A and D are correct.