Question

Find the solution(s) to the system of equations represented in the graph.

5x + 3y = 1 x - y = -2
(a) (0, -2) and (2, 0)
(b) (0, -2) and (-2, 0)
(c) (0, 2) and (2, 0)
(d) (0, 2) and (-2, 0)

Answer 1

To find the solution(s) to the system of equations represented in the graph, we need to determine the points where the two lines intersect.

Step-by-step explanation:

To find the solution(s) to the system of equations represented in the graph, we need to determine the points where the two lines intersect. By solving the system of equations simultaneously, we can find these points. The given system of equations is:

5x + 3y = 1

x - y = -2

Solving the second equation for x, we get x = y - 2. Substituting this expression for x in the first equation, we have 5(y - 2) + 3y = 1. Expanding and combining like terms, we get 8y - 9 = 1. Solving for y, we have y = 2. Substituting this value of y into the second equation, we find x = 0. Therefore, the solution to the system of equations is (0, 2).