SOLUTION: What is the answer oh this given 2x+y=10 2x+3y=6?

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Question 1062040: What is the answer oh this given 2x+y=10 2x+3y=6?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
You have two equations and two unknowns. As long as they're linearly independent (i.e. not exact multiples of one another) there should be a solution:
+2x+%2B+y+=+10+ (1)
+2x+%2B+3y+=+6+ (2)
Subtract (2) from (1), to get:
+0x+-+2y+=+4+
++++++++++y+=+4%2F%28-2%29+=+-2+
++y=-2+ — using (1) —> +2x+-+2+=+10+ or +x+=+6+
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Ans: x=6, y=-2
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Check (using (2), we already used (1) to find x):
2(6) + 3(-2) = 12 - 6 = 6 (ok)