The solution of the system of equations is (4.66,-5.33).
Step-by-step explanation:
Given : System of equations
and ![2x+y=4](/tpl/images/0498/8669/fd3b9.png)
To find : What is the solution to the system of equations?
Solution :
To solve the system of equation we apply substitution method.
Let
......(1)
.......(2)
Now, substitute y from (1) in (2)
![2x+y=4](/tpl/images/0498/8669/fd3b9.png)
![2x+(x-10)=4](/tpl/images/0498/8669/1db5d.png)
![3x=14](/tpl/images/0498/8669/75a62.png)
![x=\frac{14}{3}](/tpl/images/0498/8669/cca58.png)
![x=4.66](/tpl/images/0498/8669/638de.png)
Substitute
in (1)
![y=x-10](/tpl/images/0498/8669/eec4d.png)
![y=\frac{14}{3}-10](/tpl/images/0498/8669/4f163.png)
![y=\frac{14-30}{3}](/tpl/images/0498/8669/8a27b.png)
![y=\frac{-16}{3}](/tpl/images/0498/8669/b76a0.png)
![y=-5.33](/tpl/images/0498/8669/794c2.png)
So, The intersection points of both the equation is (4.66,-5.33).
Therefore, The solution of the system of equations is (4.66,-5.33).