What kind of equation is 15x=3y linear equation. Inverse variation. Direct variation or joint variation?
Direct Variation
To determine the type of equation, let's look at the given equation: 15x = 3y.
This equation represents a linear equation because it is in the standard form of a linear equation, which is ax + by = c. In this case, a = 15, b = -3, and c = 0.
To determine if it is a direct variation or inverse variation equation, we need to examine the ratios formed by the variables. In direct variation, the ratio of the two variables remains constant, while in inverse variation, the product of the two variables remains constant.
In this case, we can rewrite the equation as y = (15/3)x or y = 5x by dividing both sides by 3. Here, the ratio of y to x is constant (5), meaning the equation represents a direct variation.
Therefore, the equation 15x = 3y represents a direct variation equation.
y = 5 x
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