Question

Use graphing to find the solution of the system of equations. -x^2+y=1, -x+y=2

Answer 1

`x=-0.62` or
`x=1.62`

Step-by-step explanation

For
`-x^2+y=1`

We make y the subject to obtain,

`y=x^2+1`

We can easily graph this function, because we just have to transform the graph of
`y=x^2` by shifting the intercept up to
`1`.

As for the straight line,
`-x+y=2`,

We find the intercepts as follows,

When
`y=0,x=-2`.

When
`x=0,y=2`.

We plot the points
`(-2,0)` and

`(0,2)`.

We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be

`x=-0.62` or
`x=1.62`

See graph