Question

I need this fast!........................

Answer 1

Answer:
`(2,2)`

Explanation:

1. Substitute
`y=0` into first equation and solve for "x" in order to find the x-intercept of the first line:

`0=-(1)/(2)x+3\\\\-3=-(1)/(2)x\\\\(-3)(-2)=x\\\\x=6`

2. Substitute
`x=0` into the first equation and solve for "y" in order to find the y-intercept of the first line:

`y=-(1)/(2)(0)+3\\\\y=3`

Knowing that first line passes through the points
`(6,0)` and
`(0,3)`, you can graph it.

3. Substitute
`y=0` into second equation and solve for "x" in order to find the x-intercept:

`0=2x-2\\\\2=2x\\\\x=1`

4. Substitute
`x=0` into the second equation and solve for "y" in order to find the y-intercept of the second line:

`y=2(0)-2\\\\y=-2`

Knowing that second line passes through the points
`(1,0)` and
`(0,-2)`, you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

`(2,2)`