8.2k views
2 votes
-60=10+5a

can someone please explain how to do this, please :)

2 Answers

3 votes

Answer:

a = -14

Explanation:

-60=10+5a

Can be written as

10 + 5a = -60

We need to solve for a. a is the unknown variable

Step 1

Collect like terms by subtracting 10 from both sides. By like terms we mean numbers that have unknown variable are grouped together and constants are also grouped separately

10 + 5a - 10 = -60 - 10

10 - 10 + 5a = -70

0 + 5a = -70

5a = -70

Note that when a case such as -60 - 10, it means two negative numbers are adding themselves

-60 - 10 = -60 + (-10)

When two negative numbers add up, you add the digits together and put the negative sign in front of the sum

Therefore, -60 - 10 = -70

5a = -70

Step 2

Divide both sides by the coefficient of a,

5a/5 = -70/5

a = -14

Note, when a negative number is divided by a positive number, the result is a negative number

a = -14 means the value of the unknown variable is -14.

User Calmarius
by
4.8k points
6 votes

Answer:

-14

Explanation:

-60 = 10 + 5a

Subtract 10 from both sides to eliminate 10 on the right side

-60 - 10 = 10 - 10 + 5a

-70 = 5a

Divide both sides by 5 to isolate a

-70/5 = 5a/5

-14 = a

a = -14

User Kanish Mathew
by
5.5k points
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