x+4y=6
7x+3y=2 By Substitution Method
Answers
Answer:
x = -2 / 5 , y = 8 / 5
Step-by-step explanation:
Given---> x + 4y = 6
7x + 3y = 2
To find ---> Value of x and y by substitution method
Solution---> x + 4y = 6 ......................(1)
7x + 3y = 2 .......................(2)
Now, we solve these equation by substitution method in this method we find value of one variable in terms of other and put in other equation and solve it for one variable and then find value of other variable.
Now from equation (1)
x + 4y = 6
=> x = 6 - 4y
Putting x = 6 - 4y in equation (2), we get
7x + 3y = 2
=> 7 ( 6 - 4y ) + 3 y = 2
=> 42 - 28 y + 3y = 2
=> - 25 y = 2 - 42
=> - 25y = - 40
=> y = 40 / 25
=> y = 8 / 5
Putting y = 8 / 5 in
x = 6 - 4y
=> x = 6 - 4 ( 8 / 5 )
=> x = ( 30 - 32 ) / 5
=> x = - 2 / 5
So , x = - 2 / 5 , y = 8 / 5