3x - 2y = -21.        X= 3y -14.    What is x and y value

To find the values of \( x \) and \( y \), we can solve the system of equations:

1. \( 3x - 2y = -21 \)
2. \( x = 3y - 14 \)

### Step 1: Substitute the expression for \( x \) from equation (2) into equation (1).

From equation (2), \( x = 3y - 14 \). Substituting this into equation (1):

\[
3(3y - 14) - 2y = -21
\]

### Step 2: Expand and simplify the equation.

\[
9y - 42 - 2y = -21
\]

Combine like terms:

\[
7y - 42 = -21
\]

### Step 3: Solve for \( y \).

Add 42 to both sides:

\[
7y = 21
\]

Now, divide both sides by 7:

\[
y = 3
\]

### Step 4: Solve for \( x \).

Substitute \( y = 3 \) into equation (2):

\[
x = 3(3) - 14
\]
\[
x = 9 - 14
\]
\[
x = -5
\]

### Final Answer:
- \( x = -5 \)
- \( y = 3 \)

Do you want more details or have any questions?

### Related Questions:
1. How can you solve systems of equations using substitution?
2. What is the elimination method for solving systems of equations?
3. Can a system of equations have no solution or infinite solutions?
4. How can you graphically solve a system of equations?
5. What are linear equations and how are they different from non-linear equations?

**Tip:** When solving systems of equations, it's good to check your answers by substituting them back into the original equations.

3x - 2y = -21. X = 3y - 14. What is x and y value?

Discover how to solve the system of equations 3x - 2y = -21 and x = 3y - 14 using the substitution method. This step-by-step solution explains key algebraic concepts, ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation