Question

solve using elimination.
8x - 7y = 10
-7x + 7y = -14
(\square, \square)
submit

Explanation:

Step1: Add the two equations

We have the system of equations:
\[

$$\begin{cases} 8x - 7y = 10 \\ -7x + 7y = -14 \end{cases}$$

\]
Adding the two equations together: \((8x - 7y)+(-7x + 7y)=10+(-14)\)
Simplify the left side: \(8x - 7y - 7x + 7y=x\)
Simplify the right side: \(10 - 14=-4\)
So we get \(x = - 4\)

Step2: Substitute x into one equation

Substitute \(x=-4\) into the first equation \(8x - 7y = 10\)
We have \(8\times(-4)-7y = 10\)
Calculate \(8\times(-4)\): \(-32-7y = 10\)
Add 32 to both sides: \(-7y=10 + 32\)
\(-7y=42\)
Divide both sides by - 7: \(y=\frac{42}{-7}=-6\)

Answer:

\((-4, -6)\)