# How do you use substitution to determine if (0, 2) is an element of the solution set for the system of equations: #x+3y=6, -x+4y=8#?

##### 1 Answer

Dec 14, 2016

#### Answer:

#### Explanation:

Substitute the point (0 ,2). That is x = 0 , y = 2 into both equations and if they are TRUE then (0 ,2) is an element of the solution set.

#" left side of 1st equation"#

#x+3y=0+(3xx2)=6=" right side Hence TRUE"#

#" left side of 2nd equation"#

#-x+4y=0+(4xx2)=8=" right side Hence TRUE"# Both equations are satisfied by (0 ,2) thus it is an element of the solution set.