How do you solve the following linear system: x + y = 6 , x = y + 2 ?

1 Answer
Nov 19, 2015

Substitute x by using y or vice versa.
Solve it like a normal equation
Solve for the other variable

Explanation:

1: x + y = 6
2: x = y + 2

The second equation helps us a lot here, since x is isolated from y and the constant. The second equation states that x can be written as y + 2, since x = y + 2. Put this expression into equation number 1.

1: color(red)(y + 2) + y = 6
NOTE: The red symbolizes a x.

1: 2y = 6 - 2
1: 2y = 4
1: y = 2

Put the value of y into the first equation.
x + y = 6
x + 2 = 6
x = 6 - 2
x = 4

Conclusion: x = 4 and y=2