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enot [183]
4 years ago
5

Solve y = 7x-3w for x

Mathematics
2 answers:
lorasvet [3.4K]4 years ago
3 0
Y=7x-3w
y+3w=7x
y+3w/7=x
valentinak56 [21]4 years ago
3 0

Answer:

x=\frac{y+3w}{7}

Step-by-step explanation:

The given equation is

y=7x-3w

We need to solve this equation for x.

Isolate variable x to solve this equation for x.

Add 3w on both sides.

y+3w=7x-3w+3w

y+3w=7x

Divide both sides by 7.

\frac{y+3w}{7}=\frac{7x}{7}

Cancel out common factors.

\frac{y+3w}{7}=x

Interchange the sides.

x=\frac{y+3w}{7}

Therefore, the formula for x is x=\frac{y+3w}{7}.

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Emily earned $166 more in her account than Katie.

We use the compound interest formula for both of these:

A=p(1+r)^t

For Katie's deposit:
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This gives Katie 6083.26-5000 = 1083.26 in interest (1083, to the nearest dollar).

For Emily's deposit:
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This means she earned 11248.64-10000=1248.64 in interest (1249, to the nearest dollar).

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