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3 years ago

Solve 2(a + 7) = 5a - 13

Mathematics

1 answer:

timurjin [86]3 years ago

4 0

Answer:

a = 9

Step-by-step explanation:

2(a + 7) = 5a - 13

We want to bring a to one side, I will choose to bring it to the right

First, expand the bracket by multiplying 2 with a + 7

2a + 14 = 5a - 13

Bring the -13 to the left by adding 13 to both sides

2a + 14 + 13 = 5a - 13 + 13

Simplify

2a + 27 = 5a

Bring the 2a to the right by subtracting 2a from both sides

2a - 2a + 27 = 5a - 2a

Simplify

27 = 5a - 2a

27 = 3a

Bring the 3 to the left by dividing both sides by 3

27÷3 = a

Simplify

a = 9

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$y=13(4)^x$

Step-by-step explanation:

We have the exponential function of the form:

$y=ab^x$

And it goes through the points (0, 13) and (3, 832).

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$13=ab^0$

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$a=13$

So, we determined that the value of a is 13.

So, our function is now:

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