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NISA [10]
3 years ago
13

2x+3y=11 Solve for x and y

Mathematics
1 answer:
irga5000 [103]3 years ago
6 0
To solve this equation you have to isolate one variable, first we will solving for x, then for y.

Solving for x

2x+3y=11

2x=11-3y

\boxed{\boxed{x=\frac{11}{2}-\frac{3}{2}*y}}

Solving for y

2x+3y=11

3y=11-2x

\boxed{\boxed{y=\frac{11}{3}-\frac{2}{3}*x}}
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= > x + \frac{1}{3} = 9



\text{Add} \: - \frac{1}{3} \: \text{ on both sides ,}



= > x + \frac{1}{3} - \frac{1}{3} = 9 - \frac{1}{3} \\ \\ \\ \\ = > x = \frac{(9 \times 3) - 1}{3} \\ \\ \\ \\ = > x = \frac{27 - 1}{3} \\ \\ \\ \boxed{ \bold{= > x = \frac{26}{3} }} \\ \\ \\ or , \boxed{ \bold{ \: x = 8. \bar{6}}}




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Value \: \: \: of \: \: x \: \: is \:  \frac{26}{3} \: \: \: or \: \: \: 8. \bar{6}
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Mary wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 2%,
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<u>Formula</u> for Simple Interest is given as:

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Putting the values of P, R and T to find out Simple Interest:\\\Rightarrow S.I. = \dfrac{6000 \times 2 \times 3}{100}\\\Rightarrow S.I. = \$360

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So, total repayment amount = $6360

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a) Simple interest paid = $360

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4 years ago
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