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Systems of Equations Flashcards

6 cards from real Algebra Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Systems of Equations flashcards as text

  1. Solve: x + y = 10 and x - y = 4

    Answer: x = 7, y = 3

    Adding the equations gives 2x = 14, so x = 7; substituting gives y = 3.

  2. When a system of two linear equations has no solution, geometrically the lines are:

    Answer: Parallel

    No solution means the lines are parallel and never intersect.

  3. Solve by substitution: y = 2x and x + y = 9

    Answer: x = 3, y = 6

    Substitute y = 2x: x + 2x = 9, so x = 3 and y = 6.

  4. A consistent dependent system has:

    Answer: Infinitely many solutions

    A consistent dependent system represents the same line, giving infinitely many solutions.

  5. Solve: 2x + 3y = 12 and x = 3

    Answer: y = 2

    Substitute x = 3: 6 + 3y = 12, so 3y = 6 and y = 2.

  6. Which method eliminates a variable by adding or subtracting equations?

    Answer: Elimination

    The elimination method adds or subtracts equations to cancel one variable.