Question

Solve the system by graphing. 2x - 3y = 0 4x – 3y = 6

Answer 1

Answer:

Answer is below

Step-by-step explanation:

Solve2x−3y=0for x:

$2x-3y=0\\2x-3y+3y=0+3y\\2x=3y\\\frac{2x}{2}=\frac{3y}{2} \\x=\frac{3}{2}y$

Substitute 3/2y for x in 4x−3y=6:

$4x-3y=6\\4\frac{3}{2}y-3y=6\\ 3y=6\\\frac{3y}{3}=\frac{6}{3}\\ y=2$

Substitute 2 in for y in x=3/2y:

$x=\frac{3}{2}y\\x= \frac{3}{2}(2)\\ x=3$

x=3 and y=2