1. Firstly, you need solve one of the equation for one of the variables. So:

6x +4y = -12 solving for y it becomes

4y = -6x – 12, then

y = 1/4 (-6x – 12) or y = – 3/2 x – 3

Now, we must then insert y = – 3/2 x – 3 into the other equation

8x -14y = -16 becomes

8x -14 (- 3/2 x – 3) = -16 or multiplying the bracket by -14 gives:

21x + 42 +8x = -16, or adding 21x and 8x gives

29x + 42 = -16, then subtracting 42 from both sides gives

29x = -58 which simplifies to

x = -2.

Now substitute x = -2 into y = – 3/2 x – 3 to get

y = (-3/2) (-2) – 3, or

y = 3 – 3 or y = 0

So your answers are x = -2 and y = 0

Sorry it’s so long, hope this helps 🙂

8x-14y=-16} 8x-14y=-16 } 8x-14y=-16 }8(2-2/3y)-14y=-16 }

x=2-2/3y } x=2-2/3y } x=2-2/3y } x=2+2*96

16-16/3y-14y=-16 |3*} 48-16y-42y=-48 } -58y=48+48} y=-96/58

x=2+2*96/3*58 } x= 2+192/174 } x=2+96/87 } x=270/87

y=-96/58 } y=-48/29 } y=-48/29 }y=-48/29

*this means multiply everything by 3 so that 16/3 becomes 16

I wrote as simply as i could so you can understand it. The method is right, i don’t know if i missed something in a multiplication.

6x+4y=-12

6(0)+4y=-12

0+4y=-12

0-0+4y=-12-0

4y=-12

y=-3

6x+4(-3)=-12

6x-12=-12

6x=12-12=12-12

6x=0

x=0

y=-3 and x=0…

6(0)+4(-3)=-12

0-12=-12

-12=-12

and do the same process for the other one