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

May 3, 2026

Answer

y = 4x - 7

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

c) $4x - y = 7$

Step 1: Subtract $4x$ from both sides of the equation. $-y = 7 - 4x$

Step 2: 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 $\boxed{y = 4x - 7}$ .

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

Step 1: Subtract $\frac{2}{3}x$ from both sides of the equation. $\frac{1}{3}y = 5 - \frac{2}{3}x$

Step 2: 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 $\boxed{y = -2x + 15}$ .

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Quick Answer

Hey, good to see you again. Here are the solutions for the equations in the form y = mx + c: c) 4x - y = 7 Step 1: Subtract 4x from both sides of the equation.

Asked on May 3, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 3, 2026

Hey, good to see you again. Here are the solutions for the equations in the form y = mx + c: c) 4x - y = 7 Step 1: Subtract 4x from both sides of the equation. -y = 7 - 4x Step 2: 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 y = 4x - 7. e) (2)/(3)x + (1)/(3)y = 5 Step 1: Subtract (2)/(3)x from both sides of the equation. (1)/(3)y = 5 - (2)/(3)x Step 2: Multiply the entire equation by 3 to isolate y. 3 ( (1)/(3)y ) = 3 ( 5 - (2)/(3)x ) y = 15 - 2x y = -2x + 15 The equation in the form y = mx + c is y = -2x + 15. Send me the next one 📸