Answer
By looking at graph, the solution of the equation is the set of ordered pairs (x,y): $(5,0)$
Work Step by Step
By looking at graph, the solution of the equation is the set of ordered pairs (x,y): $(5,0)$
If we want to check the solution, we can solve the equation:
1) $2x+8y=10$
2) $x+y=5$
By multiplying the second equation, we get:
2) $2\times(x+y)=2\times5$
2) $2x+2y=10$
We can now subtract equation 2) from equation 1):
$2x+8y-(2x+2y)=10-10$
$10y=0$
$y=0$
By substituting it back into equation 2), we get the value of x:
$x+y=5$
$x+0=5$
$x=5$
The solution of the equation is the set of ordered pairs (x,y): $(5,0)$
