MathAlgebra
Practice
Systems of Equations Practice
Original questions solving and interpreting systems of linear equations.
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Question 1 of 2
Question 1
Medium
Correct answer\(4\)
Explanation
Adding the equations eliminates \(y\): \(3x=12\), so \(x=4\).
- Add equations
\((2x+y)+(x-y)=11+1\)
- Solve
\(3x=12\Rightarrow x=4\)
Question 2 of 2
Question 2
Hard
Correct answer\(k=-10\)
Explanation
Rewrite the second equation as \(y=3x-\frac{k}{2}\). It has the same slope as the first. The lines coincide when \(-k/2=5\), so \(k=-10\).
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Questions to review
No mistakes this time. Excellent work.
- Question 1Solve a linear system by eliminationMedium
- Question 2Determine a system’s solution countHard