Question

-2x+ 3y=-15 3x+2y = -23 solve by elimination

Answer 1

Answer:

x=237/7 and y=-199/7

Explanation:

Multiply the second equation by 2, then add the equations together.

(−2x+3y=−153)

2(x+2y=−23)

Becomes:

−2x+3y=−153

2x+4y=−46

Add these equations to eliminate x:

7y=−199

Then solve 7y=−199 for y:

7y=−199

(Divide both sides by 7)

y=−199/7

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−2x+3y=−153

Substitute −199/7 for y in−2x+3y=−153:

Add 597/7 to both sides

Divide both sides by -2