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)
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)
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!~
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!~