Solve using the substitution method.
-$$\begin{array} { l }
y = 2 x - 4 \
4 x + y = - 28
\end{array}$$
A) $( - 5 , - 14 )$
B) $( - 12 , - 4 )$
C) $( - 12,20 )$
D) $( - 4 , - 12 )$

Question

Solve using the substitution method.
-$$\begin{array} { l } 
y = 2 x - 4 \
4 x + y = - 28
\end{array}$$
A) $( - 5 , - 14 )$
B) $( - 12 , - 4 )$
C) $( - 12,20 )$
D) $( - 4 , - 12 )$

Quizplus · Accepted Answer

We will use the substitution method by solving the first equation for y:

$$y = 2x - 4$$

Then we substitute this expression for y in the second equation:

$$4x + (2x - 4) = -28$$

Solving for x:

$$6x - 4 = -28$$

$$6x = -24$$

$$x = -4$$

Now we can substitute this value of x back into the first equation to find y:

$$y = 2(-4) - 4 = -12$$

Therefore, the solution is $(-4,-12)$, which corresponds to choice D.

Solve Using the Substitution Method y=2x−44x+y=−28\begin{array} { l } y = 2 x - 4 \\4 x + y = - 28\end{array}y=2x−44x+y=−28​

Solve Using the Substitution Method $\begin{array} { l } y = 2 x - 4 \\4 x + y = - 28\end{array}$