Question

8. Solve the system of equations shown by substitution.

y = x - 5 5x + 2y = 4
F. (10,5)
G. (-1,-6)
H. (0,-5)
J. (2,-3)​

Answer 1

J. (2, -3)​

Explanation:

1. Substitute y = x - 5 in for y in the other equation:

5x + 2(x - 5) = 4

2. Simplify:

5x + 2x - 10 = 4 (distributed the 2)

7x - 10 = 4

3. Isolate for x:

7x - 10+10 = 4+10

7x = 14

7x/7 = 14/7

x = 2

4. Plug the new x value into an equation and solve for y:

y = 2 - 5

y = -3

hope this helps!