Question

What is the solution to the system of equations below?

Answer 1

Answer:

6×+÷3=2+4×=6

3x 8x+6 =8×+y1×-2

Answer 2

To solve the system of equations, first solve for x.

Because both equations equal y, they also equal each other (rule: if a = c and b = c, than a = b)

You can then set the equations equal to each other and solve for x.

1/2x + 6 = -3/4x - 4

I want to get x onto just one side. 1/2 = 2/4. I now add 3/4 x to both sides to get this:

5/4x + 6 = -4

I then subtract 6 from each side

5/4x = -10

Finally I dive each side by 5/4

x = -8

Now to solve for y I plug in x = -8 into one equation. I’m going to use the first one.

y = 1/2(-8) + 6
y = -4 + 6
y = 2

Your solution is (-8, 2)
To double check this, plug these values into the second equation. If both sides equal each other than you have the right answer.