Question

solve.
10x - 10y = -20
10x - 3y = 15
(□,□)
submit

Explanation:

Step1: Subtract the two equations

We have the system of equations:
\[

$$\begin{cases} 10x - 10y = -20 \\ 10x - 3y = 15 \end{cases}$$

\]
Subtract the first equation from the second equation:
\[
(10x - 3y) - (10x - 10y) = 15 - (-20)
\]
Simplify the left - hand side: \(10x - 3y - 10x + 10y=7y\)
Simplify the right - hand side: \(15 + 20 = 35\)
So we get the equation \(7y=35\)

Step2: Solve for y

Divide both sides of the equation \(7y = 35\) by 7:
\(y=\frac{35}{7}=5\)

Step3: Substitute y into one of the original equations to solve for x

Substitute \(y = 5\) into the first equation \(10x-10y=-20\):
\(10x-10\times5=-20\)
\(10x - 50=-20\)
Add 50 to both sides: \(10x=-20 + 50\)
\(10x=30\)
Divide both sides by 10: \(x = 3\)

Answer:

\((3,5)\)