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The solution to a system of two linear equations is x = 3 weeks; y = 9 feet

a. x = 3 weeks; y = 9 feet
b. x = 9 weeks; y = 3 feet
c. x = 6 weeks; y = 6 feet
d. x = 12 weeks; y = 4 feet

1 Answer

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Final answer:

The proposed solution of x = 3 weeks and y = 9 feet does not satisfy the given linear equation y = 9 + 3x. When substituting x with 3, the equation yields y = 18, not y = 9, indicating that the proposed solution is incorrect.

The right answer is a. x = 3 weeks; y = 9 feet

Step-by-step explanation:

The solution to a system of two linear equations is given by a pair of values for x and y that satisfy both equations simultaneously. In this scenario, the solution provided is x = 3 weeks; y = 9 feet. To determine if this solution is correct, we can plug these values into the given equation y = 9 + 3x.

If we substitute x with 3 weeks, we'll obtain:


y = 9 + 3(3) = 9 + 9 = 18. This result does not match the provided y value of 9 feet, implying that it is not the correct solution. Thus, option a that states x = 3 weeks; y = 9 feet is not the correct solution for the given system of linear equations.

Without other equations provided, we can't definitively solve for the correct values of x and y, but we can confirm the given solution does not satisfy the equation.

The right answer is a. x = 3 weeks; y = 9 feet

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