Equation With More Than One Fraction

Algebra Level 1

k + 2 3 \frac{k+2}{3} = k − 4 5 \frac{k-4}{5}

What is the value of k?


The answer is -11.

Nguyễn Scott by Nguyễn Scott , 21, Canada

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3 solutions

Simon Frohlich
Sep 25, 2015

From the question, k + 2 3 = k − 4 5 \frac{k + 2}{3}=\frac{k - 4}{5} .

Cross multiply: 5 ( k + 2 ) = 3 ( k − 4 ) 5(k + 2) = 3(k - 4)

Expand: 5 k + 10 = 3 k − 12 5k + 10 = 3k - 12

Combining like terms, 2 k = − 22 2k = -22

k = − 11 k = \boxed{-11}

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Akash Gupta
Jan 30, 2015

(k+2)/3=(k-4)/5 5(k+2)=3(k-4) 5k+10=3k-12 5k-3k=-12-10 2k=-22 k=-11

1 Helpful 0 Interesting 0 Brilliant 0 Confused

k+2/3 = k - 4/5 ; now on cross multiplying we get 5k +10 = 3k - 12 now solving for k we get 2k = -22 and k = -11

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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