Question

Solve the equation. $$ 10 y=2 y-6 y+7 $$

   Solve the equation.
$$
10 y=2 y-6 y+7
$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 3, Problem 28

Instant Answer

Solved by Expert Jessica Hill

04/29/2020

Step 1

We have $2y - 6y$ which simplifies to $-4y$. So, the equation becomes: $$ 10y = -4y + 7 $$ Show more…

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Solve the equation. $$ 10 y=2 y-6 y+7 $$

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Key Concepts

Linear Equations

Linear equations are equations that involve variables raised only to the first power. They represent straight lines when graphed on a coordinate plane and involve operations such as addition, subtraction, multiplication, and division. Solving them typically requires isolating the variable to determine its value.

Combining Like Terms

Combining like terms is a fundamental algebraic technique where terms in an expression that have the same variable raised to the same power are added or subtracted from each other. This simplification step makes it easier to isolate the variable and solve the equation.

Isolating the Variable

Isolating the variable involves rearranging an equation in such a way that one side contains only the variable and the other side contains constants. This is achieved by applying inverse operations such as addition or subtraction and multiplication or division, ensuring the equality is maintained throughout the process.

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