Answer:
Explanation:
There a few ways to solve this system. Since each equation is set equal to y on the left side, that means that we can set the right side of each equation to be equal to each other. So,
3x - 4 = -2x + 6
This can now be solved for x:
5x - 4 = 6 (added 2x to each side)
5x = 10 (added 4 to each side)
x = 2 (divided each side by 5)
Now that we know what x must be, we can plug 5 in for x in either of the equations and solve for y:
y = 3(5) - 4
y = 6 -4
y=2
This means y should be 2. To make sure this answer is correct, we can plug our y and x numbers into the OTHER equation to see if it makes sense:
(2) = -2(2) + 6
2 = -4 + 6
2=2
That looks right, so x = 2 and y = 2