If xy = 144, x + y = 30, and x > y, what is the value of x – y ?

The value of x-y is 18

Step-by-step explanation:

From the question, we can deduced the following ;

xy = 144....eqn(1)

x+y=30.......eqn(2)

For eqn(2), we subtract y from both sides to make x the subject.

Putting that x=30-y into eqn(1) we obtain;

This implies that

y-6=0 or y-24=0

Hence, y=6 or y=24.

Therefore, when x=6 then y=24 and when x=24, then y=6 all satisfy the given equations.

But from the question, x>y.

This implies that,x=24 and y= 6

Thus, the value of x-y=24-6=18

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation:

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