How many solutions does this equation have? 5b = 4b − 10 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable 'b': Isolate the variable 'b' on one side of the equation. 5b = 4b − 10 Subtract 4b from both sides to isolate 'b'. 5b - 4b = 4b - 4b - 10 Simplify the equation. b = -10Subtract to isolate 'b': Check if the solution b = -10 satisfies the original equation. Substitute b = -10 into the original equation. 5(-10) = 4(-10) − 10 Calculate both sides. -50 = -40 - 10 -50 = -50 The solution b = -10 satisfies the original equation.

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How many solutions does this equation have? $\newline$ $5b = 4b - 10$ $\newline$ 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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5b = 4b - 10

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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

Isolate variable 'b': Isolate the variable 'b' on one side of the equation. $\newline$ $5b = 4b − 10$ $\newline$ Subtract $4b$ from both sides to isolate 'b'. $\newline$ $5b - 4b = 4b - 4b - 10$ $\newline$ Simplify the equation. $\newline$ $b = -10$
Subtract to isolate $b$ : Check if the solution $b = -10$ satisfies the original equation. $\newline$ Substitute $b = -10$ into the original equation. $\newline$ $5(-10) = 4(-10) − 10$ $\newline$ Calculate both sides. $\newline$ $-50 = -40 - 10$ $\newline$ $-50 = -50$ $\newline$ The solution $b = -10$ satisfies the original equation.