Solve the following equation fory. $$ -3 x+7 y=5 $$

\[ -3x + 7y = 5 \] **Step 1:** Add $$ 3x $$ to both sides. \[ -3x + 7y + 3x = 5 + 3x \quad \Rightarrow \quad 7y = 5 + 3x \] **Step 2:** Divide both sides by $$ 7 $$ to solve for $$ y $$. \[ y = \frac{5 + 3x}{7} \] $$ y = \frac{5 + 3x}{7} $$

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Home Question Bank Math Algebra

Question

Solve the following equation fory.

Ask by Erickson Gardner. in the United States

Mar 29,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

Step 1: Add

to both sides.

Step 2: Divide both sides by

to solve for

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg

Explain

Simplify this solution

Extra Insights

To solve for

in the equation

, you’ll want to isolate

. Start by adding

to both sides:

Next, divide both sides by

to solve for

Now you have

expressed in terms of

. It’s like solving a puzzle where now you can easily find

for any given

Fun fact: This equation represents a straight line when graphed on a coordinate system, with a slope of

and a y-intercept of

! Think of it as a colorful path on the graph - the steepness and direction of that path reveal its relationship with

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