Yes, y=-5x+3 is a linear function. We know that by two factors. First, if you plot the function, you find that it draws a straight line, hence the term linear. Second, if you inspect the non-constant terms, you find that all of the are in the first power, i.e. there are no "squareds", "cubes", square roots", etc. This also makes it s linear function.
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It is the linear equation of a straight line.
The question contains two equations:5x - 6y = 15 5x + y = 2 There are no inequalities in the question.
It is a linear function passing through the origin. It represents a direct proportionality between x and y.
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5x plus 3 does equal 3 plus 5x; commutative law.