Question

X+4y=10
-x+5y=8
what is the solution set

Answer 1

`x + 4y = 10 \: \vee \: - x + 5y \\ \Leftrightarrow \: x = 2 \: \vee \: y = 2 \\ \Rightarrow \: (x,y) = (2,2)`

Answer 2

x=2 y=2

(2,2)

Explanation:

We can solve this system by elimination.

x+4y=10

-x+5y=8

---------------

9y = 18

Divide each side by 9

9y/9 = 18/9

y =2

Now we need to find x

x +4y =10

x +4(2) = 10

x +8 =10

Subtract 8 from each side

x+8-8 = 10-8

x=2