linear equations
is it a linear equation?
3x=5y
i got yes since 0=5y-3x
Yes, it is linear.
To determine if the equation 3x = 5y is a linear equation, we need to check if it satisfies the criteria for a linear equation.
A linear equation is an equation that represents a straight line when graphed. It must have variables raised to the power of 1 and not to any other power (such as x^2, y^3, etc.). Additionally, the variables must not be multiplied or divided together, meaning they appear only as coefficients of x and y.
In the equation 3x = 5y, both x and y are raised to the power of 1. So, the exponent criteria is satisfied.
Now let's check the coefficients. The coefficients of x and y are both just numbers (3 and 5), and they are not multiplied or divided together. Therefore, the coefficient criteria is also satisfied.
Since the equation 3x = 5y meets both the exponent and coefficient criteria for a linear equation, we can say that it is indeed a linear equation.