Question

solve.
3x - 2y = -5
3x - 3y = -15
(□, □)
submit

Explanation:

Step1: Subtract the two equations

Subtract the second equation \(3x - 3y=-15\) from the first equation \(3x - 2y=-5\) to eliminate \(x\).
\((3x - 2y)-(3x - 3y)=-5-(-15)\)
Simplify the left - hand side: \(3x - 2y - 3x + 3y=y\)
Simplify the right - hand side: \(-5 + 15 = 10\)
So, \(y = 10\)

Step2: Substitute y into one of the equations

Substitute \(y = 10\) into the first equation \(3x-2y=-5\).
We get \(3x-2\times10=-5\)
Simplify: \(3x-20=-5\)
Add 20 to both sides: \(3x=-5 + 20\)
\(3x=15\)
Divide both sides by 3: \(x = 5\)

Answer:

\((5,10)\)