QuestionUse the method of elimination to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. $\left\{\begin{aligned} x-5 y & =-21 \\ -3 x+15 y & =66 \end{aligned}\right.$

Studdy Solution
Express the solution set in terms of one of the variables. Let's solve the first equation for $x$ :
$x = 5y - 21$
The solution set can be expressed as:
$(x, y) = (5t - 21, t) \quad \text{where } t \text{ is any real number}$

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