Respuesta :

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

  1. basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
  2. 10y minus 8y gives us 2y.
  3. 22 minus 14 gives us 8

3x+10y=22

-3x-8y=-14

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

[tex] \frac{2y}{2} = \frac{8}{2} [/tex]

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

[tex] \frac{3x}{3} = \frac{ - 18}{3} [/tex]

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

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