How many solutions does this equation have? –3w = –3w + 8 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze the equation: Analyze the equation –3w = –3w + 8. We have the same term on both sides of the equation, –3w. However, there is an additional +8 on the right side.Attempt to isolate the variable: Attempt to isolate the variable w on one side. Subtract –3w from both sides of the equation to try to get w alone on one side. –3w + 3w = –3w + 8 + 3w 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 w that can satisfy the equation.Determine the number of solutions: Determine the number of solutions. Since there is no value of w that can make the equation true, the equation has no solution.

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How many solutions does this equation have? $\newline$ $-3w = -3w + 8$ $\newline$ 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

-3w = -3w + 8

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze the equation: Analyze the equation $-3w = -3w + 8$ . $\newline$ We have the same term on both sides of the equation, $-3w$ . However, there is an additional $+8$ on the right side.
Attempt to isolate the variable: Attempt to isolate the variable $w$ on one side. $\newline$ Subtract $-3w$ from both sides of the equation to try to get $w$ alone on one side. $\newline$ $-3w + 3w = -3w + 8 + 3w$ $\newline$ This simplifies to: $\newline$ $0 = 8$
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 $w$ that can satisfy the equation.
Determine the number of solutions: Determine the number of solutions. $\newline$ Since there is no value of $w$ that can make the equation true, the equation has no solution.