Question: Solve By Substitution 2x-y=3    x+2y=24? 

Answer: 2x-y=3   x+2y=24\n\n1)\nfirst, solve the second equation for x by subtracting y from both sides\n\nx+2y=24\n-2y      -2y\n\nso, x=24-2y\n\n2) Next, Substitute the result of step 1 by applying it to the first equation, just replace x in 2x-y=3 with 24-2y\n\n2(24-2y)-y=3\n\n\n3)Distribute the 2 that is in front of the parentheses\n\n48-4y-y=3\n\n4) combine like terms\n\n48-5y=3\n\n5) Subtract 48 from both sides\n\nyou will have:  -5y=-45\n\n\n6) Divide each side by -5\nyou will have y=9\n\n7)Substitute 9 for y in each equation\n\n2x-9=3  =>  add 9 to both sides => 2x=12 =>\n\ndivide both sides by 2, you will have x=6\n\n\nx + 2(9) =24\n\nwhich is x + 18 = 24\n\nSubtract 18 from each side, and you will have x=6
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