Math Problem Statement
y=
7x−20
y, equals, 2, x
y=
2x
Solution
You've given two equations for :
To find a solution, let's set the two expressions for equal to each other:
Solving for :
-
Subtract from both sides:
-
Divide both sides by 5:
Now, find :
Substitute into either of the original equations (let's use ):
Final solution:
Would you like more details or have any questions?
Here are 5 related questions:
- How do we solve for when the equation has more variables?
- Can we substitute in both equations to check consistency?
- How do we handle equations where the variable terms are on both sides?
- What happens if the equations are nonlinear?
- How can graphing these equations help visualize the solution?
Tip: Always simplify the equation as much as possible before solving for unknowns.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Formulas
y = mx + b (slope-intercept form)
Linear equation solution by substitution
Theorems
Equal values method
Solving systems of equations by substitution
Suitable Grade Level
Grades 6-8
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