# Is the ordered pair (2,2) a solution to the system 2x - y = 2 and x + 3y =8?

##### 1 Answer

May 10, 2016

Yes;

#### Explanation:

Substituting

- in the expression
#2color(red)(x)-color(blue)(y)#

gives#(2xxcolor(red)(2))+color(blue)(2) = 2#

So#(color(red)(2),color(blue)(2))# is a solution for#2color(red)(x)-color(blue)(y)=2# - in the expression
#color(red)(x)+3color(blue)(x)#

gives#color(red)(2)+(3xxcolor(blue)(2))=8#

So#(color(red)(2),color(blue)(2))# is a solution for#color(red)(x)+3color(blue)(y)=8#

Since

it is a solution for the system of equations (since the system is comprised of only those two equations).