Question

Graph the equation to solve the system. y=2x+7 1/2y=x+7/2

Answer 1

Given equation is y=2x+7 and $\frac{1}{2}y=x+\frac{7}{2}$

Let's simplify the 2nd equation $\frac{1}{2}y=x+\frac{7}{2}$ before we can start graph so that calculation will be easy

$\frac{1}{2}y=x+\frac{7}{2}$

multiply both sides by 2 to cancel out fractions

$2*\frac{1}{2}y=2*x+2*\frac{7}{2}$

y=2x+7

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

y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.