MATH SOLVE

5 months ago

Q:
# 7x - 3y = 4 2x - 4y = 1 The solution to the system of equations is

Accepted Solution

A:

7x-3y=4 ..............(1)

2x-4y=1...............(2)

4(1)-3(2)Β Β [-4 is the coefficient of y in (2), -3 is the coefficient of y in (1) ]

28x-12y = 16...........(1a)

6x-12y = 3...............(2a)

Subtract

22x = 13

solve

x=13/22 ....................(3)

Substitute (3) in (1)

7(13/22)-3(y)=4

solve for y

91/22-3y=4

3y=(91-88)/22=3/22

y=1/22

Answer: the solution is (13/22, 1/22)

2x-4y=1...............(2)

4(1)-3(2)Β Β [-4 is the coefficient of y in (2), -3 is the coefficient of y in (1) ]

28x-12y = 16...........(1a)

6x-12y = 3...............(2a)

Subtract

22x = 13

solve

x=13/22 ....................(3)

Substitute (3) in (1)

7(13/22)-3(y)=4

solve for y

91/22-3y=4

3y=(91-88)/22=3/22

y=1/22

Answer: the solution is (13/22, 1/22)