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SOLUTION: solve this system of equations by graphing. 2x+3y=12 2x-y=4
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Question 246160
:
solve this system of equations by graphing.
2x+3y=12
2x-y=4
Answer by
oberobic(2304)
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Given
2x + 3y = 12
2x - y = 4
.
Change both in y = mx+b format
.
2x + 3y = 12
3y = -2x + 12
y = -(2/3)X + 4
.
2x -y = 4
-y = -2x + 4
y = 2x - 4
.
.
We can see they intersect at (3,2), so they are consistent and independent.
.
We can check our work using x=3 and y=2.
.
Do these equations produce the correct answer when you substitute for x & y?
2x + 3y = 12
2(3) + 3(2) = 6 + 6 = 12
Check.
.
2x - y = 4
2(3) - 2 = 6 -2 = 4
Check.