Math  /  Algebra

Question6. Solve for xx. x+2y7=4\frac{x+2 y}{7}=4

Studdy Solution

STEP 1

1. The equation x+2y7=4\frac{x+2y}{7} = 4 is asking us to solve for xx.
2. The equation involves basic algebraic operations, specifically multiplication and addition.
3. The variable yy is considered a constant or known value for the purpose of solving for xx.

STEP 2

1. Eliminate the fraction by multiplying both sides of the equation by 7.
2. Isolate the variable xx by performing algebraic operations.
3. Express xx in terms of yy.

STEP 3

To eliminate the fraction, multiply both sides of the equation by 7:
7×x+2y7=7×4 7 \times \frac{x+2y}{7} = 7 \times 4

STEP 4

Simplify both sides:
x+2y=28 x + 2y = 28

STEP 5

To isolate xx, subtract 2y2y from both sides of the equation:
x+2y2y=282y x + 2y - 2y = 28 - 2y

STEP 6

Simplify the equation:
x=282y x = 28 - 2y

STEP 7

The solution for xx in terms of yy is:
x=282y \boxed{x = 28 - 2y}

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