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What is 7x plus 13 equals 2x plus 3?
7x + 13 = 2x + 3 First, subtract 3 from both sides.7x + 13 - 3 = 2x + 3 - 3Simplify both sides.7x + 10 = 2xNow, subtract 2x from both sides.7x - 2x + 10 = 2x - 2xSimplify again.5x + 10 = 0Finally, subtract 10 from both sides, simplify, and divide both sides by 5.5x + 10 - 10 = 0 - 105x = -10x = -2So the answer is x = -2.
How many milliliters of a 50 percent acid solution and how many milliliters of a 20 percent acid solution must be mixed to produce 36 mL of a 30 percent acid solution?
Answer:12mL of 50% solution and 24mL of 20% solution must be mixed to produce 36mL of a 30% acid solutionLet x = 50% acid solutiony = 20% acid solution Equations:x + y = 36mL ----equation (1)0.5x + 0.2y = 0.3 * 360.5x + 0.2y = 10.8multiplying by 105x + 2y = 108 ----equation (2)eliminating equations (1) and (2)-2(x + y = 36)-2-2x -2y = -725x +2y = 108=========3x = 36x=12substitute x=12 to equation (1)12 + y = 36y = 36 - 12y = 24thus 12mL of 50% solution and 24mL of 20% solution must be mixed to produce 36mL of a 30% acid solution
