x=3 y=5       a)4x-2y             b)2x squared + 3y squared

Let's solve the given expressions with the values \( x = 3 \) and \( y = 5 \).

### Part (a): \( 4x - 2y \)

Substitute \( x = 3 \) and \( y = 5 \) into the expression:

\[ 4x - 2y = 4(3) - 2(5) \]

Now, calculate:

\[ 4(3) = 12 \]
\[ 2(5) = 10 \]
\[ 12 - 10 = 2 \]

So, the value of \( 4x - 2y \) is \( 2 \).

### Part (b): \( 2x^2 + 3y^2 \)

Substitute \( x = 3 \) and \( y = 5 \) into the expression:

\[ 2x^2 + 3y^2 = 2(3^2) + 3(5^2) \]

Now, calculate:

\[ 3^2 = 9 \]
\[ 5^2 = 25 \]
\[ 2(9) = 18 \]
\[ 3(25) = 75 \]
\[ 18 + 75 = 93 \]

So, the value of \( 2x^2 + 3y^2 \) is \( 93 \).

### Summary

a) \( 4x - 2y = 2 \)

b) \( 2x^2 + 3y^2 = 93 \)

Would you like more details or have any questions?

Here are some related questions for further practice:
1. What is the value of \( 5x + 3y \) when \( x = 3 \) and \( y = 5 \)?
2. How do you simplify \( x^2 + y^2 \) for \( x = 3 \) and \( y = 5 \)?
3. Find the value of \( 6x - 4y + 2 \) when \( x = 3 \) and \( y = 5 \).
4. What is the value of \( \frac{4x}{2y} \) with \( x = 3 \) and \( y = 5 \)?
5. Calculate \( x^3 + y^3 \) for \( x = 3 \) and \( y = 5 \).

**Tip:** When evaluating algebraic expressions, always substitute the given values first and then follow the order of operations (PEMDAS/BODMAS).

Solve the algebraic expressions 4x - 2y and 2x^2 + 3y^2 with x = 3 and y = 5. Learn the step-by-step solution to apply basic algebraic operations and quadratic expressions. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation