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

Question

asked Nov 12, 2020 218k views

2 Answers

Jonathan Magnan · Answer 1 · 2020-11-19T11:00:16+0000

Answer:

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)