Question

solve the system of equations.
3x + y = 2
7x - 4y = 30
a (1/2, 1/2)
b (-2, 8)
c (2, -4)
d (2, -2)

Answer 1

To solve the system of equations using any of the given points, we plug in the x and y values into the equations and see which point satisfies both equations.

For point a (1/2, 1/2):
3(1/2) + 1/2 = 2
7(1/2) - 4(1/2) = 30
These equations are not satisfied by point a, so a is not a solution to the system of equations.

For point b (-2, 8):
3(-2) + 8 = 2
7(-2) - 4(8) = 30
These equations are not satisfied by point b, so b is not a solution to the system of equations.

For point c (2, -4):
3(2) - 4 = 2
7(2) - 4(-4) = 30
These equations are not satisfied by point c, so c is not a solution to the system of equations.

For point d (2, -2):
3(2) - 2 = 2
7(2) - 4(-2) = 30
These equations are satisfied by point d, so d is the solution to the system of equations.

Therefore, the correct answer is d) (2, -2)