Question

Based on the information below, what are the values of x and y of the solution to the system of equacreate the information?|A|=| 29X=-17/12- 1/2,4--1/114 |, |Ax| =-3X =x = 4, y = 12x = 12, y = 4Previous Activity54|₁|A₂| =0 -30Next Act

Answer 1

Solution.

Given

`|A|=-3((1)/(2))-9((1)/(4))=-(15)/(4)`
`|A_x|=5(-3)-(1)/(4)(0)=-15`
`\begin{gathered} |A_y|=(1)/(2)(0)-5(9)=-45 \\ \end{gathered}`
`\begin{gathered} x=(|A_x|)/(|A|)=(-15)/((-15)/(4)) \\ x=4 \\ y=(|A_y|)/(|A|)=(-45)/((-15)/(4)) \\ y=12 \end{gathered}`

Thus, x = 4, y=12