2x-6y=-24 and x=5y-22 by substitution( complete computation pls)
Answers
Step-by-step explanation:
1. x=3y-12
Solution: 2x-6y divided by -24
2x=-24(-6y)
2x=6y-24
x=(6y-24) divided by 2
x=(6y-24)x 1/2
x=6y x 1/2 -24 x 1/2
x=3y-24x1/2
x=3y-12
Hope its helpful too you friend
Question -
Solve the following pair of linear equations by substitution method -
2x-6y= - 24 and x= 5y-22
Solution -
Given equations,
2x-6y= - 24........1)
x= 5y-22.....2)
Now,
Substituting the value of x in equation 1) we will get -
=>2(5y-22)-6y= - 24
=>10y - 44 -6y = - 24
=> 4y - 44= - 24
=> 4y = - 24+44
=> 4y = 20
=> y =20/4
=> y = 5
Now, substituting the value of y in equation 2) we will get -
=> x=5×5-22
=>x =25-22
=> x =3
Verification -
=> 2x - 6y = - 24
Putting the values of x and y
=>2×3 - 6×5= - 24
=> 6 - 30= - 24
=> - 24 = - 24
Also,
=> x= 5y - 22
Putting the values x and y
=>3 = 5×5-22
=>3 =25-22
=>3= 3
L.H.S = R. H. S
Hence Verified