We read your photo as:

Rewrite the following equations in the form y = mx + c: c) 4x − y = 7 and e) rac23x + rac13y = 5.

May 3, 2026Mathematics

ScanSolve AI Answer

Answers

2 parts

y = 4x - 7

y = -2x + 15

4 steps

Here are the solutions for the equations in the form $y = mx + c$ :

$4x - y = 7$

Subtract $4x$ from both sides of the equation.
$-y = 7 - 4x$
Multiply the entire equation by $-1$ to solve for $y$ .
$y = -7 + 4x$ $y = 4x - 7$
The equation in the form $y = mx + c$ is $\boxed{y = 4x - 7}$ .

$\frac{2}{3}x + \frac{1}{3}y = 5$

Subtract $\frac{2}{3}x$ from both sides of the equation.
$\frac{1}{3}y = 5 - \frac{2}{3}x$
Multiply the entire equation by 3 to isolate $y$ .
$3 \left( \frac{1}{3}y \right) = 3 \left( 5 - \frac{2}{3}x \right)$ $y = 15 - 2x$ $y = -2x + 15$
The equation in the form $y = mx + c$ is $\boxed{y = -2x + 15}$ .

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.