Question

Using the Addition Method, solve for y in the following system of linear equations.

Answer 1

Answer:

x = 3.33

y = 0.33

Step-by-step explanation:

to evaluate for y in this system of linear equation we would say that let

4x-2y=6 ........................................................... equation 1

2x+y=7 ..............................................................equation 2

from equation 2

2x+y=7 ..............................................................equation 2

y = 7 - 2x........................................... equation 3

substitute for y in equation 1

4x-2y=6 ........................................................... equation 1

4x -2( 7 - 2x) = 6

4x - 14 + 2x = 6

6x = 6 +14

6x = 20

divide both sides by 6

6x/6 = 20/6

x = 3.33

put x into equation 3

y = 7 - 2x........................................... equation 3

y = 7 -2( 3.33)

y = 7 -6.667

y = 0.33