<PRE><B>Question 206622</B>
5x+6y=5
10x+12y=10
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multiply first equation by 2 to get:
10x + 12y = 10
10x + 12y = 10
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subtract second equation from first to get:
0 + 0 = 0
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I believe the answer is that this is an identity and that any value of x and y that satisfied one equation would also satisfy the other.
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if you graph both these equations, you would probably see that they are the same line.
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first equation:
5x + 6y = 5
solving for y we get:
6y -5x + 5
y = -(5/6)x + (5/6)
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second equation:
10x + 12y = 10
solving for y we get:
12y = -10x + 10
y = (-10/12)x + (10/12)
which can be reduced to:
y = (-5/6)x + (5/6)
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the equations are identical after simplification.
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