Question

Use the substitution method to determine whether the system of equations has one solution, no solution, or infinitely many solutions. 2x-y=10 x = y + 5

Answer 1

We have the equations:
2x-y = 10, x = y + 5
To solve the system we substitute x = y + 5 in the first equation and it remains:
2 (y + 5) - y = 10
2y +10 -y = 10.
y = 0
Then we substitute y = 0 in any of the two equations to find x
Finally we have left that x = 5