Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 09, 2023

Solve the linear equation $y + 5(2y - 7) = 9$ for the variable $y$ .

STEP 1

Assumptions1. The equation is $y+5 \cdot( y-7)=9$ . We are solving for $y$

STEP 2

First, we need to distribute the $5$ to both terms inside the parentheses.
$y+5 \cdot(2 y-7)=9 \Rightarrow y +5 \cdot2y -5 \cdot7 =9$

STEP 3

Next, simplify the equation.
$y +10y -35 =9$

STEP 4

Combine like terms on the left side of the equation.
$11y -35 =9$

STEP 5

To isolate $y$ , we first add $35$ to both sides of the equation.
$11y -35 +35 =9 +35 \Rightarrow11y =44$

STEP 6

Finally, divide both sides of the equation by $11$ to solve for $y$ .
$y =44 /11$

STEP 7

Calculate the value of $y$ .
$y =44 /11 =4$ So, the solution to the equation $y+5 \cdot(2 y-7)=9$ is $y =4$ .

Was this helpful?

Start learning now

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

Contact Influencer program Policy Terms