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dusya [7]
3 years ago
11

Given: 3j+k/2=15-4k; Prove j=10-3k And Given 5x-2y=x+14; Prove y=2x-7

Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

j=10-3k

y = 2x - 7

Step-by-step explanation:

Solving (a):

Given

\frac{3j + k}{2}=15-4k

Required: Prove j=10-3k

\frac{3j + k}{2}=15-4k

Multiply through by 2

2 * \frac{3j + k}{2}=(15-4k) * 2

3j + k = 30 - 8k

Subtract k from both sides

3j = 30 - 9k

Divide through by 3

j = \frac{30 - 9k}{3}

j = 10 - 3k

Solving (b):

Given

5x - 2y = x+ 14

Required

Prove: y = 2x - 7

5x - 2y = x+ 14

Subtract 5x from both sides

-2y = x - 5x + 14

-2y =  -4x + 14

Divide through by -2

\frac{-2y}{-2} = \frac{-4x}{-2} + \frac{14}{-2}

y = 2x - 7

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Step-by-step explanation:

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