3x-2y=10 9x + 4y = -50

Question

asked Apr 12, 2021 130k views

2 Answers

Mathijs Flietstra · Answer 1 · 2021-04-18T01:54:15+0000

Solve 3x -2y = 10 for x:

Add 2y to both sides:

3x = 2y + 10

Divide both sides by 3:

X = (2y+10)/3

Now replace that for x in the second equation:

9(2y+10/3) + 4y = -50

Distributive property:

6y + 30 + 4y = -50

Simplify:

10y + 30 = -50

Subtract 30 from both sides:

10y = -80

Divide both sides by 10:

Y = -8

Now you know y replace y in the first equation and solve for x:

3x -2(-8) = 10

Simplify:

3x +16 = 10

Subtract 16 from both sides:

3x = -6

Divide both sides by 3:

X = -2

Solution: x = -2, Y = -8