What is the solution of the system? Use substitution.

Question

5x+y=3
6x+y=8

Answer 1

First, let's solve the first equation for y:

y = 3 - 5x

Now, plug this into the second equation:

6x + (3 - 5x) = 8
6x + 3 - 5x = 8
x + 3 = 8
x = 5

Now that we have the value of x, substitute it back into the first equation to find the value of y:

5(5) + y = 3
25 + y = 3
y = 3 - 25
y = -22

Therefore, the solution to the system of equations using substitution is x = 5 and y = -22.