Solve the system of equation

Question

y = 2 + 3x
4x- 3y = -16
(2,10)
(2, 8)
(-2, -4)
(-2, 4)

Answer 1

To solve the system of equations, we can substitute the values of x and y from the provided points into the equations.

For point (2,10):
y = 2 + 3x
10 = 2 + 3(2)
10 = 2 + 6
10 = 8 (this is false, so (2, 10) is not a solution)

For point (2,8):
y = 2 + 3x
8 = 2 + 3(2)
8 = 2 + 6
8 = 8 (this is true, so (2, 8) is a solution)

For point (-2,-4):
y = 2 + 3x
-4 = 2 + 3(-2)
-4 = 2 - 6
-4 = -4 (this is true, so (-2, -4) is a solution)

For point (-2,4):
y = 2 + 3x
4 = 2 + 3(-2)
4 = 2 - 6
4 = -4 (this is false, so (-2, 4) is not a solution)

Therefore, the solutions to the system of equations are (2, 8) and (-2, -4).