Question

Solve the system of two equations using substitution.
y=2+3x
4x−3y=−16

Answer 1

We can solve the system of equations using substitution by substituting the value of y from the first equation into the second equation.

Substitute y = 2 + 3x into the second equation:

4x - 3(2 + 3x) = -16

Simplify the equation:

4x - 6 - 9x = -16
-5x - 6 = -16
-5x = -10
x = 2

Substitute x = 2 back into the first equation to find y:

y = 2 + 3(2)
y = 2 + 6
y = 8

Therefore, the solution to the system of equations is x = 2 and y = 8.