Math

Question Solve the linear equation 3a287a=10a3a - 28 - 7a = 10a for the unknown variable aa.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation 3a287a=10a3a - 28 - 7a = 10a.
2. We need to solve for the variable aa.

STEP 2

Combine like terms on the left side of the equation.
3a7a28=10a3a - 7a - 28 = 10a

STEP 3

Subtract 7a7a from 3a3a to simplify the left side of the equation.
4a28=10a-4a - 28 = 10a

STEP 4

Now, we want to isolate the variable aa on one side of the equation. To do this, we will add 4a4a to both sides of the equation to move all terms involving aa to the right side.
4a+4a28=10a+4a-4a + 4a - 28 = 10a + 4a

STEP 5

Simplify both sides of the equation.
28=14a-28 = 14a

STEP 6

Now, to solve for aa, we will divide both sides of the equation by 14.
2814=14a14\frac{-28}{14} = \frac{14a}{14}

STEP 7

Calculate the value of aa.
a=2814=2a = \frac{-28}{14} = -2
The solution to the equation 3a287a=10a3a - 28 - 7a = 10a is a=2a = -2.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord