Question

Solve the following system of equations:
x - 2y = 5
2x - 4y = 10

Infinitely many solutions
No solutions
(0, 0)
(5, 10)

Answer 1

x - 2y = 5

Add 2y to both sides:

x = 2y + 5

Substitute '2y + 5' for 'x' in the 2nd equation:

2x - 4y = 10

2(2y + 5) - 4y = 10

Distribute 2 into the parenthesis:

4y + 10 - 4y = 10

Combine like terms, what's 4y - 4y?