Question

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

Answer 1

Given equation is y=3x+3 and $\frac{1}{3}y=x+1$

Let's simplify the 2nd equation $\frac{1}{3}y=x+1$ before we can start graph so that calculation will be easy

$\frac{1}{3}y=x+1$

multiply both sides by 3 to cancel out fractions

$3*\frac{1}{3}y=3*x+3*1$

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.