Question

Solve the system of equations.

3x - 4y = -10 and 5x + 8y = -2
A. (1, 2)
B. (2, 1)
C. (1, -2)
D. (-2, 1) Solve the system of equations.

3x - 4y = -10 and 5x + 8y = -2
A. (1, 2)
B. (2, 1)
C. (1, -2)
D. (-2, 1) @Mathematics

Answer 1

D

Answer 2

3x-4y=-10
3x=-10+4y
x=(-10/3)+(4/3)y
Plug into second equation and solve for y:
5x+8y=-2
5[(-10/3)+(4/3)y]+8y=-2
(-50/3)+(20/3)y+8y=-2
(44/3)y=(44/3)
y=1
Plug y back into first equation and solve for x:
3x-4y=-10
x=(-10/3)+(4/3)y
x=(-10/3)+(4/3)(1)
x=-2

Final answer:
x=-2
y=1