Question

Solve the system of linear equations by substitution. Check your solution.

Answer 1

x = 4 and y = 1/2

Explanation:

Given equations are :

`(x)/(2)+2y=3\ .....(1)\\\\6y+1=x\ ......(2)`

Put the value of x from equation (2) in equation (1).

`(6y+1)/(2)+2y=3\\\\(6y+1+4y)/(2)=3\\\\(10y+1)/(2)=3\\\\10y+1=6\\\\10y=5\\\\y=(1)/(2)`

Put the value of y in equation (2) :

`6* (1)/(2)+1=x\\\\3+1=x\\\\x=4`

So, the value of x = 4 and y = 1/2.