Questions: Evaluate the expression for x=2 and y=4. 5(x+7)-6y The value of the expression 5(x+7)-6y for x=2 and y=4 is □

Transcript text: mathxl - Search Quiz 1 https://mylab.pearson.com/Student/PlayerTest.aspx?testld $=265387868$ TTH Question 22 of 30 Evaluate the expression for $x=2$ and $y=4$. \[ 5(x+7)-6 y \] The value of the expression $5(x+7)-6 y$ for $x=2$ and $y=4$ is $\square$

Solution

Solution Steps

To evaluate the expression $5(x+7)-6y$ for $x=2$ and $y=4$, we will substitute the given values of $x$ and $y$ into the expression and then perform the arithmetic operations.

Step 1: Substitute the Given Values

Substitute $x = 2$ and $y = 4$ into the expression $5(x+7)-6y$.

Step 2: Simplify Inside the Parentheses

Calculate $x + 7$: \[ x + 7 = 2 + 7 = 9 \]

Step 3: Multiply by 5

Multiply the result by 5: \[ 5 \times 9 = 45 \]

Step 4: Multiply $y$ by 6

Calculate $6y$: \[ 6 \times 4 = 24 \]

Step 5: Subtract the Results

Subtract $6y$ from $5(x+7)$: \[ 45 - 24 = 21 \]