Question 159754
x - 7y = -10
Add 7y to both sides

x=-10+7Y

replace x in the second equation with -10+7Y

3(-10+7Y)+2Y=10

Use the distributive property
-30+21Y+2Y=10

-30+23Y=10
add 30 to both sides of the equation

23Y=40
divide both sides by 23

Y=40/23
Replace y with 40/23 in the following equation in order to get a value for X
x - 7y = -10

x-7(40/23)=-10
X-280/23=-10

Multiply each term by 23

23X-280=-230
add 280 to both sides

23X=50

Divide both sides by 23

X=50/23
Let's plug in the values to confirm

x - 7y = -10

50/23-7(40/23)=-10  (50-280)/23=-230/23=-10
3x + 2y = 10         3(50)/23 +2(40/23)=10  150/23+80/23=230/23=10