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

Subtract 5y: Subtract 5y from both sides of the equation to isolate the variable on one side. 4y - 5y = 5y - 5y - 4 -1y = -4Divide by -1: Divide both sides by -1 to solve for y. y = -4 / -1 y = 4Check solution: Check the solution by substituting y = 4 back into the original equation. 4(4) = 5(4) - 4 16 = 20 - 4 16 = 16 This shows that y = 4 is a solution to the equation.

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

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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

Subtract $5y$ : Subtract $5y$ from both sides of the equation to isolate the variable on one side. $\newline$ $4y - 5y = 5y - 5y - 4$ $\newline$ $-1y = -4$
Divide by $-1$ : Divide both sides by $-1$ to solve for $y$ . $y = \frac{-4}{-1}$ $y = 4$
Check solution: Check the solution by substituting $y = 4$ back into the original equation. $4(4) = 5(4) - 4$ $16 = 20 - 4$ $16 = 16$ This shows that $y = 4$ is a solution to the equation.