Question

How can 1/2x - 5 = 1/3x + 6 be set up as a system of equations?

Answer 1

Answer:

$2y - x = -10$

$3y-x=18$

Step-by-step explanation:

Set up as a system of equation

$\frac{1}{2} x - 5 = \frac{1}{3} x + 6$

To get system of equations, we set each side of the given equation equals to y

$\frac{1}{2} x - 5=y$

Multiply whole equation by 2. That is we multiply each term by 2

$x - 10=2y$

Subtract x on both sides

$2y - x = -10$ (first equation)

$y = \frac{1}{3} x + 6$

Multiply whole equaiton by 3

$3y=x +18$

Subtract x on both sides

$3y-x=18$ (second equation)

Answer 2

Y = 1/2x - 5...2y = x - 10...2y - x = -10
y = 1/3x + 6....3y = x + 18...3y - x = 18
answer C