Question

solve the following equations and verify your answer.​

Answer 1

Answer:

k = -57/11.

Step-by-step explanation:

$\frac{3k + 5}{4k - 3 } = \frac{4}{9}$

By cross multiplication,

9 (3k+5) = 4 (4k -3)

=> 27k + 45 = 16k - 12

=> 27k - 16k = -45 - 12

=> 11k = -57

=> k = -57/11.

Answer 2

Answer:-

Let's solve your equation step by step.

$\frac{3k + 5}{4k - 3} = \frac{4}{9}$

Step-by-step explanation:

Step 1 : Multiply both sides by 4k-3

$3k + 5 = \frac{4}{9} (4k - 3)$

Step 2 : Simply $\frac{4}{9} (4k - 3)$ to $\frac{4(4k - 3)}{9}$

$3k + 5 = \frac{4(4k - 3)}{9}$

Step 3: Multiply both sides by 9

$27k+45=4(4k-3)$

Step 4 : Expand

$27k+45=16k-12$

Step 5 : Substract 16k from both sides

$27k+45-16k=-12$

Step 6 : Simplify 27k + 45 - 16k to 11k + 45

$27k+45=16k-12$

Step 7 : Subtract 45 from both sides

$11k=-12-45$

Step 8 : Simplify -12 -45 to -57

$11k= -57$

Step 9 : Divide both sides by 11

$k = - \frac{57}{11}$

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