Solve the system: 2x + y = 7 and x - y = 2.

Solution

Algebra · Medium

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