Question

Q: using the Substitution Method, and the value ory in

Using the Substitution Method, find the value of y in
the below system of equations?
-2y = 44 – 4
7x = -4y + 10

Answer 1

Explanation:

To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side

`44 - 4 = -2y ----equation 1`

`10 = 7x + 4y --- equation 2`

We can simply evaluate equation 1 to have

`40 = -2y\\y = 40/-2 = -20\\`

y = -20

From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.