Math Problem Statement
Solution
Let's solve the given system of equations:
Since the value of is already given as , we can substitute into the first equation.
Substitute into :
This simplifies to:
Now, subtract 6 from both sides:
Finally, divide both sides by 3:
Thus, the solution to the system is:
If you have any further questions or would like more details on the solution process, feel free to ask!
Here are some related questions you may find useful:
- What are the different methods to solve a system of linear equations (e.g., substitution, elimination)?
- How do you solve systems of equations with two variables using matrices?
- How can you graphically represent the solution to a system of linear equations?
- What is the significance of parallel lines in a system of equations?
- How do you solve systems of equations with three variables?
Tip: When substituting into equations, always double-check the values to avoid calculation errors!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Systems of Equations
Substitution Method
Formulas
2x + 3y = 6
x = 3
Theorems
Substitution method to solve systems of equations
Suitable Grade Level
Grades 7-9
Related Recommendation
Solve the System of Equations: 3x - 2y = 6 and y = x - 3
Solving Systems of Equations with Substitution: y = 3x + 6, 3y - 2x = 0
Solve System of Equations Using Substitution: y = 6 - 2x and 3x + 2y = 10
Solve for x and y: x + y = 6, 2x - 3y = 4
Solve the System of Linear Equations: 2x + 3y = 4, y + 3x = 6