Solve using the substitution method.
-y = 2x + 4 3x + y = 29
A)(5, 14)
B)(14, 5)
C)(14, -13)
D)(4, 12)

Question

Quizplus · Accepted Answer

We can use the substitution method by substituting y in the second equation with 2x + 4 from the first equation, which gives us:
3x + (2x + 4) = 29
Simplifying this equation gives us:
5x + 4 = 29
Subtracting 4 from both sides gives us:
5x = 25
Dividing both sides by 5 gives us:
x = 5
We can then substitute x = 5 back into the first equation to solve for y:
y = 2(5) + 4
y = 14
Therefore, the solution is (5, 14), which corresponds to choice A. Using the substitution method, we can substitute the value of y in the second equation with 2x + 4 from the first equation:
3x + (2x + 4) = 29
Simplifying the equation by combining like terms:
5x + 4 = 29
Subtracting 4 from both sides:
5x = 25
Dividing both sides by 5:
x = 5
Now that we have found the value of x, we can substitute it back into either one of the original equations to find the value of y. Let's use the first equation:
y = 2x + 4
y = 2(5) + 4
y = 14
Therefore, the solution is (5, 14), which corresponds to choice A).

Solve Using the Substitution Method