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Art [367]
3 years ago
12

What is the solution to the equation 7(a – 10) = 13 – 2(2a 3)?

Mathematics
2 answers:
geniusboy [140]3 years ago
7 0
7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.
valina [46]3 years ago
3 0

Answer:

a=7

Step-by-step explanation:

we have

7(a-10)=13-2(2a+3)

Solve for a

7a-70=13-4a-6

Group terms that contain the same variable and move the constants to the other side

7a+4a=13-6+70

Combine like terms

11a=77

Divide by 11 both sides

a=7

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When solving -1/8 (x + 35) = −7, what is the correct sequence of operations?
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<u>ANSWER: </u>

Division, multiplication, addition is the correct sequence of operations for solving -\frac{1}{8}(x+35)=-7

<u>SOLUTION: </u>

Given, equation is  -\frac{1}{8}(x+35)=-7

We need to solve the given equation in correct sequential order.

So, let us follow the BODMAS rule.

BODMAS means sequence of operations are brackets, orders, division, multiplication, addition, subtraction

Now,

-\frac{1}{8}(x+35)=-7

As the term in brackets cannot be processed further we can go for next term.

Now the division operation has to be done first according to BODMAS

- 0.125(x+35)= -7

Multiplication comes second in order.

-0.125x+4.375= -7

On rearranging the terms, we get

-0.125x+4.375+7=0

Now perform addition according to BODMAS

-0.125x+11.375=0

0.125x=11.375

x=\frac{11.375}{0.125}=91

Hence division, multiplication, addition is the correct sequence of operations for solving -\frac{1}{8}(x+35)=-7

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