Jolie solves a system of equations. is her system solved correctly? why or why not? explain your reasons. y=4x+6 2x+7y=72 jolie's solution: 2x+7(4x+6)=72 2x+7x+42=72 9x+42=72 9x = 30 x= 30/9 y=4(30/9)+6 y=58/3

slope-intercept form: y = mx + b

m = slope, b = y-intercept

Plug in (3,3) for (x, y)

3 = (8/9)(3) + b

Solve for b. First, simplify

(8/9)(3) = ~2.67 (rounded)

3 = 2.67 + b

Isolate the b. Subtract 2.67 from both sides

3 (-2.67) = 2.67 (-2.67) + b

b = 3 - 2.67

b = 0.33

Plug in 0.33 for b in the equation.

y = (8/9)x + 0.33 is your slope-intercept form.

hope this helps