Question

Y= 2x -7
y= square root -2x + 9
pls help ;-;

Answer 1

`x=4, y=1`

Explanation:

`2x-7=√(-2x+9) \\ \\ 4x^2-28x+49=-2x+9 \\ \\ 4x^2-26x+40=0 \\ \\ 2x^2-13x+20=0 \\ \\ (2x-5)(x+4)=0 \\ \\ x=(5)/(2), =4`

If
`x=5/2`, the first equation gives
`y=-2` and the second equation gives
`y=2`, so reject this solution.

If
`x=4`, both equations yield
`y=1`.

`\therefore x=4, y=1`