Solve the system: 2x + y = 7 and x - y = 2.
Solution
Problem
Solve the system: 2x + y = 7 and x - y = 2.
Add the two equations to eliminate y:
(2x + y) + (x - y) = 7 + 2
Simplify:
3x = 9
Divide by 3:
x = 3
Substitute x = 3 into x - y = 2:
3 - y = 2
Solve for y:
y = 1
Therefore:
x = 3, y = 1
Result
x = 3, y = 1