Algebra 1 - Solve Equation for x

Solve the equation for x. If necessary, enter fractions in lowest terms, using the slash ( / ) as a fraction bar. -3/5x=1/4

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 Nov 04, 2011 Solve Equation for x by: Staff Question: Solve the equation for x. If necessary, enter fractions in lowest terms, using the slash ( / ) as a fraction bar. -3/5x=1/4 Answer: (-3 / 5)x = 1 / 4 Multiply each side of the equation by 5 to remove the 5 from the denominator of the fraction (-3 / 5) (-3 / 5) * x = 1 / 4 5 * (-3 / 5) * x = 5 * (1 / 4) [(-3 * 5) / 5] * x = 5 * (1 / 4) [-3 * (5 / 5)] * x = 5 * (1 / 4) [-3 * (1)] * x = 5 * (1 / 4) (-3) * x = 5 * (1 / 4) (-3) * x = (5 * 1) / 4 (-3) * x = 5 / 4 multiply each side of the equation by 1/(-3) to remove the (-3) from the left side of the equation [(-3) * x] * [1 / (-3)] = (5 / 4) * [1 / (-3)] x * [(-3) / (-3)] = (5 / 4) * [1 / (-3)] x * (1) = (5 / 4) * [1 / (-3)] x = (5 / 4) * [1 / (-3)] x = (5 * 1) / [4 * (-3)] x = (5) / (-12) x = (-5) / (12) x = -5 / 12 the final answer is: x = -5 / 12 check your work by substituting (-5 / 12) for x in the original equation (-3 / 5)x = 1 / 4 (-3 / 5) * x = 1 / 4 (-3 / 5) * (-5 / 12) = 1 / 4 [(-3) * (-5)] / [5 * (12)] = 1 / 4 15 / 60 = 1 / 4 (3 * 5) / (3 * 5 * 4) = 1 / 4 [(3 * 5) / (3 * 5)] * (1 / 4) = 1 / 4 [(15) / (15)] * (1 / 4) = 1 / 4 1 * (1 / 4) = 1 / 4 1 / 4 = 1 / 4 → x = (-5 / 12) is a valid solution Thanks for writing. Staff www.solving-math-problems.com