Solve the system of equations by substitution.
A) (-30,11)
B) (2,-30)
C) (-14,11)
D) (2,-14)
E) (11,2)

Question

Solve the system of equations by substitution. ​  ​
A) (-30,11) 
B) (2,-30) 
C) (-14,11) 
D) (2,-14) 
E) (11,2)

Quizplus · Accepted Answer

To solve the system by substitution, we can use the first equation to solve for x in terms of y:
x = 2y + 28
Substituting this expression for x into the second equation, we have:
y - (2y + 28) = -44
Simplifying and solving for y:
-y - 28 = -44
y = -16
Now we can use the expression we found earlier for x in terms of y to solve for x:
x = 2(-16) + 28 = -4
Therefore, the solution to the system is (x, y) = (-4, -16), which corresponds to answer choice D.

Solve the System of Equations by Substitution