How many solutions will this system of equations have? x - 2y = 24 and 3x - 6y = 72
No solution
Infinite solutions
One solution
Two solutions

Solution:

Given: Linear equations are 

x - 2y = 24 --- (1)

3x - 6y = 72 --- (2)

Let us solve the linear equations

(2) can be rewritten as

3x = 6y + 72

Dividing the whole equation by 3 using division property of equality

x = 2y + 24

Substitute it in equation (1)

2y + 24 - 2y = 24

By further calculation

0 = 0

Therefore, this system of equations has infinite solutions.

How many solutions will this system of equations have? x - 2y = 24 and 3x - 6y = 72

Summary:

This system of equations x - 2y = 24 and 3x - 6y = 72 has infinite solutions.