How many solutions does this equation have? 2y − 10 = –8y Choices: (A)no solution (B)one solution (C)infinitely many solutions

Combine y terms: Add 8y to both sides of the equation to bring all the y terms to one side. 2y − 10 + 8y = –8y + 8y Simplify the equation by combining like terms. (2y + 8y) − 10 = 0 10y − 10 = 0Isolate y term: Add 10 to both sides of the equation to isolate the term with y. 10y − 10 + 10 = 0 + 10 Simplify the equation. 10y = 10Solve for y: Divide both sides of the equation by 10 to solve for y. 10y / 10 = 10 / 10 Simplify the equation. y = 1

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How many solutions does this equation have? $\newline$ $2y - 10 = -8y$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Math Problems

Algebra 1

Find the number of solutions to a linear equation

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Q. How many solutions does this equation have?

\newline

2y - 10 = -8y

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Combine y terms: Add $8y$ to both sides of the equation to bring all the y terms to one side. $\newline$ $2y − 10 + 8y = −8y + 8y$ $\newline$ Simplify the equation by combining like terms. $\newline$ $(2y + 8y) − 10 = 0$ $\newline$ $10y − 10 = 0$
Isolate y term: Add $10$ to both sides of the equation to isolate the term with $y$ . $\newline$ $10y - 10 + 10 = 0 + 10$ $\newline$ Simplify the equation. $\newline$ $10y = 10$
Solve for y: Divide both sides of the equation by $10$ to solve for y. $\newline$ $\frac{10y}{10} = \frac{10}{10}$ $\newline$ Simplify the equation. $\newline$ $y = 1$