Question

Solve the given equation

Answer 1

`\large\boxed{d.\ \text{The solution set is}\ \left((29)/(4),\ (13)/(4)\right)}`

Explanation:

`\left[\begin{array}{ccc}x+3y\\y\end{array}\right] =\left[\begin{array}{ccc}17\\x-4\end{array}\right] \iff\left\{\begin{array}{ccc}x+3y=17&(1)\\y=x-4&(2)\end{array}\right\\\\\\\text{substitute (2) to (1):}\\\\x+3(x-4)=17\qquad\text{use distributive property}\\\\x+(3)(x)+(3)(-4)=17\\\\x+3x-12=17\qquad\text{add 12 to both sides}\\\\4x=29\qquad\text{divie both sides by 4}\\\\\boxed{x=(29)/(4)}`

`\text{Put the value of x to (2):}\\\\y=(29)/(4)-4\\\\y=(29)/(4)-(16)/(4)\\\\\boxed{y=(13)/(4)}`