The best method to solve this problem is substitution. The first thing you want to do is solve the first equation for either x or y, I'll solve for y. This gives you y = 40 - x. Then you take that expression and substitute it in for y in the second equation to get 5.85x + 4.9(40 - x) = 5.62. From there you want to distribute the 4.9 to the parentheses, giving you 5.85x + 196 - 4.9x = 5.62. Combine your two x terms on the left to get 0.95x + 196 = 5.62. Subtract 196 from each side, giving you 0.95x = -190.38. Finally, divide both sides by 0.95 to get x = -200.4. Once you find x, you can plug that value back into either original equation, I will use the first. This gives you -200.4 + y = 40. You will add 200.4 to both sides to get y = 240.4. Therefore, your solution (x,y) is (-200.4, 240.4).
Jan 26th, 2015
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