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

Analyze the equation: Analyze the equation –2v = –2v + 8. We have the same term on both sides of the equation, –2v. However, there is an additional +8 on the right side.Isolate the variable v: Attempt to isolate the variable v on one side. Subtract –2v from both sides to try to get v alone on one side of the equation. –2v + 2v = –2v + 8 + 2v This simplifies to: 0 = 8Evaluate the result: Evaluate the result. The equation 0 = 8 is never true, as 0 cannot equal 8. This means there is no value of v that will satisfy the equation.

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How many solutions does this equation have? $\newline$ $-2v = -2v + 8$ $\newline$ 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

-2v = -2v + 8

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze the equation: Analyze the equation $-2v = -2v + 8$ . We have the same term on both sides of the equation, $-2v$ . However, there is an additional $+8$ on the right side.
Isolate the variable $v$ : Attempt to isolate the variable $v$ on one side. Subtract $–2v$ from both sides to try to get $v$ alone on one side of the equation. $–2v + 2v = –2v + 8 + 2v$ This simplifies to: $0 = 8$
Evaluate the result: Evaluate the result. $\newline$ The equation $0 = 8$ is never true, as $0$ cannot equal $8$ . This means there is no value of $v$ that will satisfy the equation.