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A day full of math games & activities. Find one near you.
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.
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