Question

Question #080e7

Answer 1

`x = 11`; `y = 87`

Explanation:

Given:
`y=x^2−3x−1`
`y=8x−1`

Since both of these equations on the right side are equal to `y` on the left side we can merge these two equations into:

`x^2−3x−1=8x−1`

Then, combine like terms:

`x^2=11x`

Divide each side by x, and you get `x=11`

You will need to continue on to solve for `y` by inserting your value for `x` into either of the `given` equations:

`y = 8x -1`
`y = 8(11) - 1`
`y = 88 -1`
`y = 87`

From here you can check your answer by substituting both of your values into the other `given` equation:

`y = x^2 - 3 x - 1`
`(87) = (11)^2 -3(11) -1`
`87 = 121 -33 -1`
87 = 87