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2х + бу = 24

What do the given equations represent?
A) A system of linear equations
B) Quadratic equations
C) Exponential equations
D) Trigonometric equations

1 Answer

4 votes

Final answer:

The given equation represents a linear equation, characteristic of a first-order polynomial without squared or exponential variables, aligning with option A) A system of linear equations.

Step-by-step explanation:

The equation 2х + бу = 24 (assuming б is a typo for a number) represents a linear equation because it can be rearranged into the form y = mx + b, where m and b are constants. This form is characteristic of a linear relationship between variables x and y. Here, we can subtract 2x from both sides and then divide by the number (assuming it's a placeholder for a coefficient) in front of y to solve for y in terms of x, which would yield a slope-intercept form (y = mx + b). This type of equation is a first-order polynomial, meaning that neither variable is raised to a power higher than one.

Linear equations are foundational in algebra and are used to describe relationships where change in one variable is proportional to change in another. The given equation does not contain any squared variables, exponential functions, or trigonometric functions; therefore, it most closely aligns with option A) A system of linear equations.

User Cameron Hudson
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