Question

Solve the system of two equations using substitution.
y=2+3x
4x−3y=−16(1 point)

Answer 1

We can solve the system of equations using substitution as follows:

1. Solve the first equation for y in terms of x:

y = 2 + 3x

2. Substitute this expression for y in the second equation, then solve for x:

4x - 3y = -16
4x - 3(2 + 3x) = -16
4x - 6 - 9x = -16
-5x - 6 = -16
-5x = -10
x = 2

3. Substitute the value of x into either equation to solve for y:

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

Therefore, the system of equations is solved and the solution is (x, y) = (2, 8).

Answer 2

Solve the system of equations. 2x%2B6y%3D−18 x%3D5y−1(1 point) Responses (−7.25%2C −1.25) left parenthesis negative 7.25 comma negative 1.25 right parenthesis (5.25%2C 1.25) left parenthesis 5.25 comma 1.25 right parenthesis (−6%2C −1) left parenthesis negative 6 comma negative 1 right parenthesis (4%2C 1)