Question

If y=3x+4 and y=2x+8 find the value of both x and y

Answer 1

x=4, y=16

Explanation:

Since y is alone on one side of both equations, that means that the equations are equal.

`2x+8=3x+4\\`

Put like terms on the same side of the equations. I put the numbers on the left and the Xs on the right. To do this subtract 4 from both sides. You will get:

`2x+4=3x`

Next, I subtracted the 2x from both sides;

`4=x`

For y, just substitute the x in the equation with 4. Will work for either equation.

`y= 3(4)+4\\y= 12+4\\y=16`

Or

`y=2x+8\\y=2(4)+8\\y=8+8\\y=16`

Therefore, y=16