(24 y-8)+7=29 Given the equation, what is the value of 3y-1 ? Choose 1 answer: (A) (5)/(4) (B) (11)/(8) (C) (11)/(4) (D) (29)/(8)

Simplify left side: First, simplify the left side of the equation by combining like terms. (24y - 8) + 7 = 24y - 8 + 7 = 24y - 1 Now the equation is 24y - 1 = 29.Add 1 to isolate y: Next, add 1 to both sides of the equation to isolate the term with y. 24y - 1 + 1 = 29 + 1 This simplifies to 24y = 30.Divide by 24: Now, divide both sides of the equation by 24 to solve for y. 24y / 24 = 30 / 24 This simplifies to y = 30 / 24.Reduce fraction: Reduce the fraction 30 / 24 to its simplest form. Both the numerator and the denominator are divisible by 6. y = (30 / 6) / (24 / 6) y = 5 / 4Find 3y - 1: Now that we have the value of y, we can find the value of 3y - 1. 3y - 1 = 3(5 / 4) - 1Multiply by 3: Multiply 3 by 5/4 to get the first part of the expression. 3(5 / 4) = 15 / 4Subtract 1: Now subtract 1 from 15/4. Since 1 is the same as 4/4, we can write: 15 / 4 - 4 / 4 = (15 - 4) / 4Perform subtraction: Perform the subtraction in the numerator. (15 - 4) / 4 = 11 / 4

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(24 y-8)+7=29
Given the equation, what is the value of
3y-1 ?
Choose 1 answer:
(A)
(5)/(4)
(B)
(11)/(8)
(C)
(11)/(4)
(D)
(29)/(8)

$(24 y-8)+7=29$ $\newline$ Given the equation, what is the value of $3 y-1$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{5}{4}$ $\newline$ (B) $\frac{11}{8}$ $\newline$ (C) $\frac{11}{4}$ $\newline$ (D) $\frac{29}{8}$

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Algebra 1

Solve linear equations: mixed review

Full solution

(24 y-8)+7=29

\newline

Given the equation, what is the value of

3 y-1

\newline

Choose

1

answer:

\newline

(A)

\frac{5}{4}

\newline

(B)

\frac{11}{8}

\newline

(C)

\frac{11}{4}

\newline

(D)

\frac{29}{8}

Simplify left side: First, simplify the left side of the equation by combining like terms. $\newline$ $(24y - 8) + 7 = 24y - 8 + 7 = 24y - 1$ $\newline$ Now the equation is $24y - 1 = 29$ .
Add $1$ to isolate y: Next, add $1$ to both sides of the equation to isolate the term with y. $\newline$ $24y - 1 + 1 = 29 + 1$ $\newline$ This simplifies to $24y = 30$ .
Divide by $24$ : Now, divide both sides of the equation by $24$ to solve for $y$ . $\frac{24y}{24} = \frac{30}{24}$ This simplifies to $y = \frac{30}{24}$ .
Reduce fraction: Reduce the fraction $\frac{30}{24}$ to its simplest form. $\newline$ Both the numerator and the denominator are divisible by $6$ . $\newline$ $y = \frac{(30 / 6)}{(24 / 6)}$ $\newline$ $y = \frac{5}{4}$
Find $3y - 1$ : Now that we have the value of $y$ , we can find the value of $3y - 1$ . $\newline$ $3y - 1 = 3\left(\frac{5}{4}\right) - 1$
Multiply by $3$ : Multiply $3$ by $\frac{5}{4}$ to get the first part of the expression. $\newline$ $3\left(\frac{5}{4}\right) = \frac{15}{4}$
Subtract $1$ : Now subtract $1$ from $\frac{15}{4}$ . Since $1$ is the same as $\frac{4}{4}$ , we can write: $\newline$ $\frac{15}{4} - \frac{4}{4} = \frac{(15 - 4)}{4}$
Perform subtraction: Perform the subtraction in the numerator. $\newline$ $(15 - 4) / 4 = 11 / 4$