Question

Solve by elimination.

2x − y = 5
3x − 2y = 6











(0, negative-3)










(3, 4)










(4, 3)










(1, 4)






@iGreen

Answer 1

2x - y = 5
3x - 2y = 6

Take the first one and rearrange it:

2x - y = 5

Subtract 2x to both sides:

-y = -2x + 5

Multiply -1 to all terms:

y = 2x - 5

Plug in '2x - 5' into the second equation for y:

3x - 2y = 6

3x - 2(2x - 5) = 6

Distribute 2 into the parenthesis:

3x - 4x + 10 = 6

Subtract:

-x + 10 = 6

Subtract 10 to both sides:

-x = -4

Multiply -1 to all terms:

x = 4

Now that we have the x-value, we can plug that into any of the two equations to find the y-value.

2x - y = 5

Plug in x = 4:

2(4) - y = 5

Multiply:

8 - y = 5

Subtract 8 to both sides:

-y = -3

Multiply -1 to all terms:

y = 3

So the answer is (4, 3)

Answer 2

Solve by elimination.

8x + y = -16
-3x + y = -5











(-1, -8)










No solution










(8, 1)










(-8, 1)