Question

Two linear equations are shown.

A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFraction x plus 2 and passes through (negative 6, 0) and (0, 2). The second line is labeled y equals StartFraction 4 over 3 EndFraction minus 5.
What is the solution to the system of equations?

Answers

  1. Answer:
    x = 7; y = 4 1/3
    Step-by-step explanation:
    The solution is the point of intersection of the lines.
    Read the point of intersection.
    You can also solve the system using algebra.
    y = 1/3 x + 2
    y = 4/3 x – 5
    1/3 x + 2 = 4/3 x – 5
    x + 6 = 4x – 15
    -3x = -21
    x = 7
    y = 1/3 x + 2
    y = 1/3 × 7 + 2
    y = 2 1/3 + 2
    y = 4 1/3
    Answer: x = 7; y = 4 1/3

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