How do you graph 3x-y=53xy=5 on a coordinate plane?

1 Answer
Jun 22, 2018

Refer to the explanation.

Explanation:

Graph:

3x-y=53xy=5

This is the standard form for a linear equation: Ax+By=CAx+By=C

You only need two points to graph a straight line; the x- and y-intercepts.

X-intercept: value of xx when y=0y=0

Substitute 00 for yy and solve for xx.

3x-0=53x0=5

3x=53x=5

Divide both sides by 33.

x=5/3x=53

Point: (5/3,0)(53,0) or (~~1.667,0)(1.667,0)

Y-intercept: value of yy when x=0x=0

Substitute 00 for xx and solve for yy.

3(0)-y=53(0)y=5

-y=5y=5

Multiply both sides by -11.

y=-5y=5

Point: (0,-5)(0,5)

Plot the two points and draw a straight line through them.

graph{3x-y=5 [-10, 10, -7.2, 2.8]}