Question 814145: Please solve the provided system of linear equations by the substitution method.
6x+9y=6
2x=2-3y
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! 6x + 9y = 6
x + (3/2)y = 1
x = 1 - (3/2)y
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2x = 2 - 3y
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2x = 2 -3y
2(1 - (3/2)y) = 2 - 3y
2 - 3y = 2 - 3y
2 = 2
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the two linear equations appear to describe the same line
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check:
put in slope-intercept form:
9y = -6x + 6
y = (-2/3)x + 2/3
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put in slope-intercept form:
2x = 2 - 3y
3y = -2x + 2
y = (-2/3)x + 2/3
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Answer:
the two linear equations describe the same line
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