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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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Answer:

The equation that represents the money he spent by the time he was on the trampoline is "total amount = 7 + 1.25*x" and on that day he spent 29 minutes on the trampoline.

Step-by-step explanation:

The question is incomplete, but we can assume that the problems wants us to determine an equation for the time in minutes that Raymond spent on the Super Bounce.

In order to write this equation we will attribute a variable to the amount of time Raymond spent on the trampoline, this will be called "x". There were two kinds of fees to ride the trampoline, the first one was a fixed fee of $7 while the second one was a variable fee of $ 1.25 per minnute spent playing. So we have:

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Since he spent a total of $43.25 on that day we have:

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