Question

y=4.5x+7.5y=−3.5x−4.5Use substitution to solve the system of questionsA. X=-1.5,y=-0.75B. X=1.5,y=0.75C. X=1.5,y=-0.75D. X=-1.5,y=0.75

Answer 1

$\begin{gathered} y=4.5x+7.5 \\ y=-3.5x-4.5 \end{gathered}$

To solve the system of equations using substitution we replace the value of y from the first equation into the second equation to find the value of x.

$4.5x+7.5=-3.5x-4.5$

solve the equation for x

$\begin{gathered} 4.5x+3.5x=-4.5-7.5 \\ 8x=-12 \\ x=-\frac{12}{8} \\ x=-1.5 \end{gathered}$

using the value of x in either equation find the value of y

$\begin{gathered} y=4.5(-1.5)+7.5 \\ y=-6.75+7.5 \\ y=0.75 \end{gathered}$

The solution for the system of equations is:

X= -1,5

y= 0.75