Question

Graph the equations to solve the system.
y=3x+3
1/3y+x+1

Answer 1

Given equation is y=3x+3 and
`(1)/(3)y=x+1`

Let's simplify the 2nd equation
`(1)/(3)y=x+1` before we can start graph so that calculation will be easy

`(1)/(3)y=x+1`

multiply both sides by 3 to cancel out fractions

`3*(1)/(3)y=3*x+3*1`

y=3x+3

which is exactly same as the first equation so graph of both will be exactly same and solution will be infinitely many solutions.

y=3x+3 has y-intercept 3 so first point will be (0,3). Slope is 3 so rise 3 unit up then 1 right and graph the new point.