Question

Solve the system of linear equations using substitution.

y = 2x - 7
5x + 3y = -10

x=
y=

Answer 1

First, substitute the expression for y in the first equation into the second equation:

5x + 3(2x - 7) = -10
5x + 6x - 21 = -10
11x - 21 = -10
11x = 11
x = 1

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

y = 2(1) - 7
y = 2 - 7
y = -5

Therefore, the solution to the system of linear equations is:
x = 1
y = -5