Answer:
( 2,3 )
x =2 , y = 3
Explanation:
In elimination method of solving linear equation, steps are involved to eliminate one of the variables so that value of other can be deduced.
In this method we either subtract or add one of the variable which has the same coefficient in the both of the equation, so that it can be removed from equation.
___________________________________________________
Given system of linear equation
3x − 2y = 0 (1)
2x + y = 7 (2)
Let eliminate y to find x
as we can see equation has 1 as coefficient for y but in equation 2 y has coefficient as 1.
In order to make coefficient of y same as 2, we multiply LHS and RHS of equation 2 with 2.
( 2x + y )*2= 7 *2
=>2x *2+ y*2= 7 *2
=> 4x + 2y = 14 let it be equation 3
Adding equation 1 and 3
3x − 2y = 0
+4x + 2y = 14
_____________________________ -2 y + 2y = 0 (y gets eliminated)
7x = 14
=> x = 14/7 = 2
Thus, x = 2
using x = 2 in 2x + y = 2
2*2 + y= 7
=> 4 + y = 7
=> y = 7 - 4 = 3
\
Thus, The solution to the system is ( 2,3 ).