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Bond [772]
4 years ago
11

Use the elimination method to solve the system of equations.choose the correct ordered pair.

Mathematics
1 answer:
fgiga [73]4 years ago
3 0
If we subtract the equations we can eliminate the 2 6y's
subtractiong the second from the first:-

10x = 44
x = 4.4
now plug x = 44 into the first equation:-
4*4.4 + 6y = 62
6y = 62 - 4*4.4 =  44.4
y = 44.4/6 = 7.4

the answer is the order pair (4.4,7.4)

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The solution is x = 6

Step-by-step explanation:

Let us revise some rules of the exponents

  • If a^{n}=a^{m} , then n = m
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∵ 9^{(x+15)}=3^{7x}

∵ 9 = 3 × 3

∴ 9 = 3²

- Substitute 9 by 3² in the equation above

∴ (3^{2})^{(x+15)}=3^{7x}

- Use the second rule above for the left hand side

∵ (3^{2})^{(x+15)}=3^{2(x+15)}

∴ (3^{2})^{(x+15)}=3^{2x+30}

∴ 3^{2x+30}=3^{7x}

- By using the first rule above

∴ 2x + 30 = 7x

- Subtract 2x from both sides

∴ 30 = 5x

- Divide both sides by 5

∴ 6 = x

The solution is x = 6

Learn more:

You can learn more about solving equations in brainly.com/question/7153188

#LearnwithBrainly

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