The required solution is (0.128,13.82)
Step-by-step explanation:
Consider the provided system of equation.
......(1)
......(2)
We need to solve the system of equation by substitution method.
Consider the equation 1.
![-2.5x+y=13.5](/tpl/images/0350/7995/5c64c.png)
......(3)
Substitute the value of y in equation 2.
![12.25x - (13.5+2.5x)=-12.25](/tpl/images/0350/7995/06971.png)
![12.25x-13.5-2.5x=-12.25](/tpl/images/0350/7995/4dbcd.png)
![9.75x-13.5=-12.25](/tpl/images/0350/7995/e02bf.png)
![9.75x=-12.25+13.5](/tpl/images/0350/7995/2136c.png)
![9.75x=1.25](/tpl/images/0350/7995/eee9a.png)
![x\approx 0.128](/tpl/images/0350/7995/b633a.png)
Now substitute the value of x in equation 3.
![y=13.5+2.5(0.128)](/tpl/images/0350/7995/bb2bf.png)
![y\approx 13.82](/tpl/images/0350/7995/d8c42.png)
Hence, the required solution is (0.128, 13.82)