Solve and check the linear equation.
-$$y = 2 [ 5 x - ( 6 x - 4 ) ] - 8 ( x - 4 )$$
A) $\{ 4 \}$
B) $\{ - 4 \}$
C) $\left\{ \frac { 12 } { 5 } \right\}$
D) $\left\{ - \frac { 12 } { 5 } \right\}$

Question

Quizplus · Accepted Answer

Explanation:Solve the equation:$y = 2 [ 5 x - ( 6 x - 4 ) ] - 8 ( x - 4 )$$y = 2 [ 5 x - 6 x + 4 ] - 8 ( x - 4 )$$y = 2 [ - x + 4 ] - 8 ( x - 4 )$$y = - 2 x + 8 - 8 x + 32$$y = - 10 x + 40$$10 x = 40$$x = 4$Substitute $x = 4$ into the equation to check:$y = 2 [ 5 ( 4 ) - ( 6 ( 4 ) - 4 ) ] - 8 ( 4 - 4 )$$y = 2 [ 20 - ( 24 - 4 ) ] - 8 ( 0 )$$y = 2 [ 20 - 20 ] - 0$$y = 2 ( 0 ) - 0$$y = 0$The solution is $x = 4$, so the correct choice is A.

Solve and Check the Linear Equation y=2[5x−(6x−4)]−8(x−4)y = 2 [ 5 x - ( 6 x - 4 ) ] - 8 ( x - 4 )y=2[5x−(6x−4)]−8(x−4)

Solve and Check the Linear Equation $y = 2 [ 5 x - ( 6 x - 4 ) ] - 8 ( x - 4 )$