Respuesta :

(4x+3y=54) -3
3x+9y=108

-12x - 9y = -162
3x + 9y = 108

-9x = -54
x = 6

4(6) + 3y = 54
24 + 3y = 54
3y = 30
y = 10

The answer is (6, 10)
cher
Equation 1)  4x + 3y = 54
Equation 2)  3x + 9y = 108

Multiply ALL of equation 1 by 3.

1)  3(4x + 3y = 54)

Simplify.

1)  12x + 9y = 162
2)  3x + 9y = 108

Subtract equations from one another.

9x = 54

Divide both sides by 9.

x = 6

Plug in 6 for x in the first equation.

4x + 3y = 54

4(6) + 3y = 54

Simplify.

24 + 3y = 54

Subtract 24 from both sides.

3y = 54 - 24

Simplify.

3y = 30

Divide both sides by 3.

y = 10

S0, x = 6, y = 10

(6, 10)

~Hope I helped!~