Solve the system of two equation using substitution

Question

Y=2+3x
4x-3y=-16

Answer 1

To solve this system of equations using substitution, we will substitute the expression for y from the first equation into the second equation.

First, we are given:

y = 2 + 3x
4x - 3y = -16

Now, substitute the expression for y from the first equation into the second equation:

4x - 3(2 + 3x) = -16
4x - 6 - 9x = -16
-5x - 6 = -16

Add 6 to both sides:

-5x = -10

Now, divide by -5 to solve for x:

x = 2

Now, plug this value of x back into one of the original equations to solve for y. Let's use the first equation:

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

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