Please help and explain:)

Mathematics

1 answer:

Elza [17]3 years ago

4 0

3x-2

An Algebraic expression contains a variables and constants connected by a sign of addition(+) or sign of subtraction(-).

The expression 3x-2 has "x" as variable and 3 is coefficient of "x" and "2" as constant. The expression is linear because higest exponent of x is 1.

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Solve the simultaneous equation 3x²-xy=0, 2y-5x=1

ratelena [41]

Answer:

(x, y) = (0, 1/2) or (1, 3)

Step-by-step explanation:

The first equation factors as ...

x(3x -y) = 0

This has solutions x=0 and y=3x.

x = 0

Using this in the second equation gives ...

2y -0 = 1

y = 1/2

(x, y) = (0, 1/2) is a solution

y = 3x

Using the expression for y in the second equation, we get ...

2(3x) -5x = 1

x = 1 . . . . . . . . . simplify

y = 3x = 3 . . . . using x=1 in the first equation

(x, y) = (1, 3) is a solution

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Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be anything. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.