Question

Solve the following system by elimination.
3x - 2y = 18
5x + 2y = 14
A. (0, 7)
B. (4, -3)
C. (6, -6)
D. (2, 2)

Answer 1

B. (4, -3)

Answer 2

3x-2y=18_5x+2y=14

Add the two equations together to eliminate y from the system.
5x+2y=14_<U>3x-2y=18<u>_8x =32

Divide each term in the equation by 8.
x=4

Substitute the value found for x into the original equation to solve for y.
3(4)-2y=18

Multiply 3 by each term inside the parentheses.
12-2y=18

Move all terms not containing y to the right-hand side of the equation.
-2y=6

Divide each term in the equation by -2.
y=-3

This is the final solution to the independent system of equations.
x=4_y=-3

Answer 3

thanks