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carrie says that one solution to y=3x-5 is (4,7).Describe two ways to check if her statement is true.use at least one way to check her answer.

  • math -

    Two ways:
    (1) Plot y = 3x - 5 and check if it passes through the point (4,7).
    (2) Substitute the x-coordinate of the point given (which is 4) to the equation, and solve for y. If the resulting y is equal to 7, it is a solution to the equation.

    Let's do #2 to check:
    y = 3x - 5
    y = 3*4 - 5
    y = 12 - 5
    y = 7
    therefore, it is indeed a solution to the equation.

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