Question

What is the x intercept of the graph of 5x-3y=30

Answer 1

The final solution is y=-5/3x-10

Answer 2

`x=6`

Point: (6,0)

Explanation:

The line intersects the x-axis when the value of "y" is equal to zero.

Then, to find the x intercept, you need to substitute
`y=0` into the equation
`5x-3y=30` and solve for "x":

`5x-3y=30\\5x-3(0)=30\\5x=30`

The Division property of equality states that:

If
`a=b`, then
`(a)/(c)=(b)/(c)`

Then, you can divide both sides of the equation by 5:

`(5x)/(5)=(30)/(5)\\\\x=6`

Therefore, the x intercept of the graph of
`5x-3y=30` is:

`x=6`

Point: (6,0)