# What is the solution to the equation2/3x+1/6=1

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Answer:x = 5/4Step-by-step explanation:We can solve for x by isolating it from the other numbers. Move everything else over to the other side in reverse BEDMAS order.[tex]\frac{2}{3}x + \frac{1}{6} = 1[/tex][tex]\frac{4}{6}x + \frac{1}{6} = 1[/tex] Give the fractions common denominators[tex]\frac{4}{6}x + \frac{1}{6} - \frac{1}{6} = 1 - \frac{1}{6}[/tex] Subtract 1/6 from both sides[tex]\frac{4}{6}x = 1 - \frac{1}{6}[/tex] 1/6 is cancelled out on the left side[tex]\frac{4}{6}x = \frac{5}{6}[/tex] Simplify the right side[tex]\frac{\frac{4}{6}x}{4/6} = \frac{\frac{5}{6}}{4/6}[/tex] Divide both sides by 4/6[tex]\frac{4}{6}x X\frac{6}{4} = \frac{5}{6} X\frac{6}{4}[/tex] Dividing is like multiplying by the flipped second fraction on both sides[tex]\frac{24}{24}x = \frac{30}{24} [/tex] Simplify. 24/24 = 1 and reduce 30/24[tex]x = \frac{5}{4} [/tex] Final answer
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general
10 months ago
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