How many solutions does this equation have? 10v − 6v = 4v Choices: (A)no solution (B)one solution (C)infinitely many solutions

Combine like terms: Simplify 10v − 6v by combining like terms. 10v − 6v = (10−6)v = 4v Compare simplified expression: Compare the simplified expression to the right side of the equation. 4v = 4v This statement is true for every value of v.Determine number of solutions: Determine the number of solutions. Since 4v = 4v is always true, the equation has an infinite number of solutions.

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How many solutions does this equation have? $\newline$ $10v - 6v = 4v$ $\newline$ 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?

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10v - 6v = 4v

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Choices:

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(A)no solution

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(B)one solution

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(C)infinitely many solutions

Combine like terms: Simplify $10v − 6v$ by combining like terms. $\newline$ $10v − 6v$ $\newline$ $= (10−6)v$ $\newline$ $= 4v$
Compare simplified expression: Compare the simplified expression to the right side of the equation. $\newline$ $4v = 4v$ $\newline$ This statement is true for every value of $v$ .
Determine number of solutions: Determine the number of solutions. Since $4v = 4v$ is always true, the equation has an infinite number of solutions.