Problem 15
Question
Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{2 x+3 y}{x+1}, \text { for } x=-2 \text { and } y=4$$
Step-by-Step Solution
Verified Answer
-8
1Step 1: Substitute
Replace \(x\) with \(-2\) and \(y\) with \(4\) in the given expression. So, the expression becomes \(\frac{2(-2)+3(4)}{(-2)+1}\).
2Step 2: Simplify the Numerator and Denominator
Now perform the multiplication and addition in the numerator and denominator. After simplifying the expression becomes \(\frac{-4+12}{-1}\).
3Step 3: Further Simplification
Perform addition in the numerator and simplify the fraction to get the final result. This gives \(\frac{8}{-1} = -8\).
Other exercises in this chapter
Problem 14
$$\text { Factor by grouping.}$$ $$x^{3}+6 x^{2}-2 x-12$$
View solution Problem 14
Perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. $$\left(8 x^{2}+7 x-5\right)-\left(3 x^{2}-4 x\right)
View solution Problem 15
Evaluate each exponential expression. $$\left(2^{2}\right)^{3}$$
View solution Problem 15
Multiply or divide as indicated. $$\frac{x-2}{3 x+9} \cdot \frac{2 x+6}{2 x-4}$$
View solution