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Ivenika [448]
2 years ago
11

Solve the linear system using the method of substitution

Mathematics
1 answer:
nika2105 [10]2 years ago
3 0

Answer:

y = -1

x = 9

(9, -1)

Step-by-step explanation:

1) Since "x" equals <em>-4y+5, </em>substitute that into the bottom equation for x: -4y+5+2y=7

2) Combine like terms: -2y+5=7

3) Subtract 5 from both sides: -2y=-2

4) Divide both sides by -2: y=-1

Now you have figured out that <em>y= -1 </em>

1) Substitute <em>-1 </em>for <em>y </em>in the top equation: x=-4(-1)+5

2) Solve: x=4+5

3) x=9

Now you have figured out that <em>x=9 </em>

<em />

The final answer is (9, -1)

Hope this helps! :)

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Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156 and interest if
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Answer:

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Step-by-step explanation:

We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.

To find the interest rate we will use simple interest formula.

I=P*r*T

I= Interest.

P= Principal amount.

r=Annual interest rate (in decimal form).

T= Time in years.

We have been given that I=156, T=5, P=520

Upon substituting our values in above formula we will get,

156=520*r*5

156=2600r

r=\frac{156}{2600}

r=0.06

Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

0.06*100=6 \text{ percent}

Therefore, the annual interest rate was 6%.

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