Question

What is the solution of the system? Use substitution. 5x + y = 3 6x + y = 8 (1 point) Responses (5,22) (5,22) Image with alt text: left parenthesis negative 5 comma 22 right parenthesis Image with alt text: left parenthesis 5 comma negative 22 right parenthesis (5,5)

Answer 1

To solve this system using substitution, we first solve one of the equations for one of the variables and then substitute this expression into the other equation.

Given equations:
1. 5x + y = 3
2. 6x + y = 8

From the first equation, we can solve for y:
y = 3 - 5x

Now, substitute this expression for y into the second equation:
6x + (3-5x) = 8
6x + 3 - 5x = 8
x + 3 = 8
x = 5

Now, substitute x = 5 back into the first equation to solve for y:
5(5) + y = 3
25 + y = 3
y = -22

Therefore, the solution to the system of equations is (5, -22).