Math and Arithmetic

What is 5 more than the opposite of y?

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## Related Questions

###### Asked in Math and Arithmetic, Algebra

### What is the smaller of two consecutive even integers such that it is 5 more than one half of the greater?

12. Call the smaller of the two consecutive even integers
x and the larger y, and represent their relationship
as x + 2 = y. The smaller of the two integers is 5
more than half the greater, which you can represent as x =
y/2 + 5. Solving these two equations together gives you an
x of 12 and a y of 14. Testing, we confirm that 12 is
5 more than half of 14, or 7.

###### Asked in Math and Arithmetic, Algebra, Calculus

### What is y divide by 9 plus 5 equal 0?

I assume the problem is y/9 + 5 = 0. To solve this, you try to
get y alone on its own side of the = sign. Right now, there is a
(+5) and a (/9) with the y, and we need to get rid of them. You do
this by going in the opposite order of PEMDAS (the order of
operations). First we will get rid of the (+5). You always get rid
of things by doing the opposite (inverse operation). Since it is +,
we will subtract 5. Whatever you do to one side of the = sign, you
also must do to the other, so we will subtract 5 from both sides.
After we do that, we get y/9 = -5. Now, we must get rid of the /9,
so we do the opposite of divide, which is multiply. We multiply
both sides by 9 and we get y = -45.

###### Asked in Math and Arithmetic

### How do you solve y squared minus 4y is greater than 5?

First, solve for zero
y2 - 4y > 5
y2 - 4y - 5 > 0
(y - 5)(y + 1) > 0
So where y = 5 and y = -1, the inequality solves for zero. We
know that because the term with the highest power of y has a
positive coefficient, that this is a parabola which has a limit in
the negative, and is infinite in the positive. That means y is less
than negative one or greater than 5.
{x | x < -1 OR x > 5, x ∈ ℜ}

###### Asked in Math and Arithmetic, Algebra

### Can a linear equation have only one solution?

A linear can't have more than one solution.
WRONG!
A linear system can have more than 1 solution. It can
also have no solution.
Example: x+y=1
z+y=2
This system has infinitely many solutions. Y can equal anything
and x and z can then be determined.
Example: x+y=1
y=1
x=5
This system obviously has no solution because if x=5 and y=1,
then x+y can never equal 1.

###### Asked in Math and Arithmetic, Geometry

### Translate and then graph the opposite of y is at most 6 less than twice x Two thirds of x increased by y is less than 2?

This question appears to have three different boundries. They
translate as follows: The opposite of Y is at most 6 = -Y ≤ 6 = Y ≥
-6 Y is less than twice X = Y < 2X Two thirds of X increased by
Y is less than 2 = (2X/3) + Y < 2 = Y < (-2X/3) + 2 By now,
these should all be simple to graph. The intersection of these
boundaries will form a shaded triangle with its base a horizontal
line that crosses the y axis at -6.