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marysya [2.9K]
3 years ago
11

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

Mathematics
1 answer:
prohojiy [21]3 years ago
3 0

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

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