Question

22. Solve the system

X+6y=2
5x+4y=36
A) (2, -1)
B) (-8, -1)
C) (0, -8)
D) (8, -1)

Answer 1

Equation 1) x + 6y = 2
Equation 2) 5x + 4y = 36

Multiply all of equation 1 by 5.

1) 5(x + 6y = 2)

Simplify.

1) 5x + 30y = 10
2) 5x + 4y = 36

Subtract equations from one another.

26y = -26

Divide both sides by 26.

y = -1

Plug in -1 for y in the first equation.

x + 6y = 2

x + 6(-1) = 2

Simplify.

x - 6 = 2

Add 6 to both sides.

x = 8

D : (8, -1)

~Hope I helped!~