How many solutions does this equation have? 5g = 4 + 3g Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable g: Isolate the variable g on one side of the equation. 5g = 4 + 3g Subtract 3g from both sides to isolate g. 5g - 3g = 4Simplify equation: Simplify the equation by combining like terms. 5g - 3g = 2g So, the equation becomes: 2g = 4Solve for g: Solve for g by dividing both sides of the equation by 2. 2g / 2 = 4 / 2 g = 2Check solution: Check if the solution g = 2 satisfies the original equation. 5g = 4 + 3g 5(2) = 4 + 3(2) 10 = 4 + 6 10 = 10 The solution g = 2 satisfies the original equation.

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How many solutions does this equation have? $\newline$ $5g = 4 + 3g$ $\newline$ 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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5g = 4 + 3g

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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 $g$ : Isolate the variable $g$ on one side of the equation. $5g = 4 + 3g$ Subtract $3g$ from both sides to isolate $g$ . $5g - 3g = 4$
Simplify equation: Simplify the equation by combining like terms. $5g - 3g = 2g$ So, the equation becomes: $2g = 4$
Solve for $g$ : Solve for $g$ by dividing both sides of the equation by $2$ . $\frac{2g}{2} = \frac{4}{2}$ $g = 2$
Check solution: Check if the solution $g = 2$ satisfies the original equation. $5g = 4 + 3g$ $5(2) = 4 + 3(2)$ $10 = 4 + 6$ $10 = 10$ The solution $g = 2$ satisfies the original equation.