Answer:
The solution is x = 6 and y =1
Explanation :
In the substitution method we solve a system of equation by substituting the value of one variable from an equation to the another equation,
Given system of equations,
x-y = 5 ⇒ y = x - 5.......(1)
2x+y = 13.......(2)
Substitute the value of y from equation (1) to equation (2),
2x+x-5=13
3x-5=13
3x=18
x = 6
Again from equation (1),
y = 6 - 5 = 1