The ratio of the coefficient is the same so it will be the infinite solution of a given system of the equation so option (C) will be correct.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A linear equation could contain more than one variable. When the maximum power of the variable is constantly uni, an equation is said to be linear.
Given the set of equation
4x - 2y = 12
20x - 10y = 160
The ratio of x coefficient = 4/20 = 1/5
The ratio of y coefficient = -2/-10 = 1/5
The ratio of the constant term = 12/160 = 1/5
Since all ratios are the same so there will be an infinite number of solutions.
The question was incomplete, but the complete question is given below.
How many solutions does this system have?
4x – 2y = 12
20x - 10y = 60
A. None
B. One
C. Infinite
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