+0

+1
36
3
+230

solve the Equations. Express the fractions answer as a decimal to the nearest tenth.

Solve for x and y

x-y= -3

3x+2y= 16

ManuelBautista2019  Dec 5, 2017

#1
+495
+2

It's been a while since I've posted a math explanation...

Alright, you'll have to subtract those two equations, but you have to make one term (with variable) the same.

Let's allow both equations to have 3x.

3x+2y=16 already has 3x inside, so leave it alone.

So for x-y=-3 to have 3x, you multiply 3 to every term in that equation.

3x-21=-9.

Let's subtract now.

3x-3y=-9

-

3x+2y=16

________________

-5y    = -25

So we have -5y = -25

Divide both sides by -5 and you get y=5.

Plug 5 for y in any equation to get x. I'll use the first one.

x-5=-3

x = 2

So x=2, y=5.

Gh0sty15  Dec 5, 2017
Sort:

#1
+495
+2

It's been a while since I've posted a math explanation...

Alright, you'll have to subtract those two equations, but you have to make one term (with variable) the same.

Let's allow both equations to have 3x.

3x+2y=16 already has 3x inside, so leave it alone.

So for x-y=-3 to have 3x, you multiply 3 to every term in that equation.

3x-21=-9.

Let's subtract now.

3x-3y=-9

-

3x+2y=16

________________

-5y    = -25

So we have -5y = -25

Divide both sides by -5 and you get y=5.

Plug 5 for y in any equation to get x. I'll use the first one.

x-5=-3

x = 2

So x=2, y=5.

Gh0sty15  Dec 5, 2017
#2
+79819
+1

Good job, Ghosty  !!!

CPhill  Dec 5, 2017
#3
+230
+1

Thanks Ghosty

ManuelBautista2019  Dec 5, 2017

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