How many solutions does this equation have? –5u = –5u + 2 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze the equation: Analyze the equation –5u = –5u + 2. We have the same term on both sides of the equation, –5u, but the right side has an additional +2. This suggests that the equation may not have any solutions, as adding 2 to one side would not make the equation balanced.Isolate the variable u: Attempt to isolate the variable u on one side. Subtract –5u from both sides to try to get u by itself. –5u + 5u = –5u + 5u + 2 0 = 2 This results in a statement that is not true for any value of u, indicating that there are no values of u that can satisfy the equation.Conclude the number of solutions: Conclude the number of solutions based on the result from Step 2. Since 0 does not equal 2, the equation has no solution. The equation is inconsistent and cannot be satisfied by any real number u.

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How many solutions does this equation have? $\newline$ $-5u = -5u + 2$ $\newline$ 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

Full solution

Q. How many solutions does this equation have?

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-5u = -5u + 2

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Choices:

\newline

(A)no solution

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(B)one solution

\newline

(C)infinitely many solutions

Analyze the equation: Analyze the equation $–5u = –5u + 2$ . We have the same term on both sides of the equation, $–5u$ , but the right side has an additional $+2$ . This suggests that the equation may not have any solutions, as adding $2$ to one side would not make the equation balanced.
Isolate the variable $u$ : Attempt to isolate the variable $u$ on one side. $\newline$ Subtract $–5u$ from both sides to try to get $u$ by itself. $\newline$ $–5u + 5u = –5u + 5u + 2$ $\newline$ $0 = 2$ $\newline$ This results in a statement that is not true for any value of $u$ , indicating that there are no values of $u$ that can satisfy the equation.
Conclude the number of solutions: Conclude the number of solutions based on the result from Step $2$ . $\newline$ Since $0$ does not equal $2$ , the equation has no solution. The equation is inconsistent and cannot be satisfied by any real number $u$ .