Math Problem Statement
y=6x-11 -2x- 3y=-7
Solution
To solve the system of linear equations:
Step 1: Substitute into the second equation.
Given:
Substitute :
Step 2: Simplify the equation.
Distribute the :
Combine like terms:
Step 3: Solve for .
Subtract 33 from both sides:
Divide both sides by :
Step 4: Solve for .
Now substitute back into the first equation:
Solution:
The solution to the system of equations is:
Would you like more details or have any questions about this process?
Here are 5 follow-up questions related to this problem:
- What is the graphical interpretation of the solution for this system of equations?
- How would you solve this system using the elimination method?
- Can you solve the system by converting both equations into slope-intercept form?
- What would happen if both lines were parallel? How would that affect the solution?
- How can you verify that is the correct solution?
Tip: When solving systems of equations, always double-check by substituting your solutions back into the original equations to verify accuracy.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Substitution Method
Solving Systems of Equations
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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