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Solving Simple Linear Equations Solve the following equation for y: simple linear Page 1 Solve the following equation for x: -in solving an equation that contains fractions, the best just step is almost always to multiply the entire equation by the smallest common multiple of the denominators so that it becomes an equation with no fractions here: the denominators are: N7 12=22.3 so, the smallest common multiple is 22.3-7= 84 then multiply: ] •2.3-7 →ziox-132x=252+35x this is now quite an easy equation to solve: 210x-132x-35x2=252 43x=252 4=252 (E 5.860465116) 43 to check: its: Ex 15=35 (2,534-7" (¥53) = '860-3?' it = 234 RHS = 3t 5 *3=3234 Since this solution makes LHS RAs, the solution is confirmed. you could also clothe check with the decimal value, butter, use the full precision of your calculator. do not do any preliminary rounding! Is ¥ 5.860465116. store in IHS = Ix IX * 5.441860465 RHS = 37 % x I 5.441860465 simple linear Page 2 RHS = 37 % x I 5.441860465 LHS = RHS 80 solution is verified Is you round-of the valued X you use in the check too much, then when CHS is not quite the same as RHS, you can't tell if the disagreement is due to your rounding or because your solution is incorrect. N you use the fuel precisions your calculator for the check, the disagreement between the valued the LHS and RHS should be at most in the last one or two significant digits when your solution is correct. memory equal Solve the following equation for w: simple linear Page 3 simple linear Page 4