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3 years ago

Identify the solution(s) of the system of equations, if any. -4x-2y=16 2y=-4x-16

2 answers:

8 0

-4x-2y = 16
2y = -4x-16

Get one variable alone on both equations

-4x - 16 = 2y
-4x - 16 = 2y

You'll realize that they're the same equation.
Use substitution

-4x-16 = -4x-16
0 = 0
x = all solutions

Use x = all solutions in an earlier equation to find y

-4x - 16 = 2y
SInce x can be all solutions y is also all solutions
y = all solutions

Viktor [21]3 years ago

5 0

-4x - 2y = 16
2y = -4x - 16
2 2
y = -2x - 8

-4x -2(-2x - 8) = 16
-4x + 4x + 16 = 16
0x + 16 = 16
 - 16 - 16
 0x = 0
 0 0
 x = 0
2y = -4x - 16
2y = -4(0) - 16
2y = 0 - 16
2y = -16
2 2
y = -8
(x, y) = (0, -8)

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Adding Integers

If the numbers that you are adding have the same sign, then add the numbers and keep the sign.

Example:

-5 + (-6) = -11

Adding Numbers with Different Signs

If the numbers that you are adding have different (opposite) signs, then SUBTRACT the numbers and take the sign of the number with the largest absolute value.

Examples:

-6 + 5= -1

12 + (-4) = 8

Subtracting Integers

When subtracting integers, I use one main rule and that is to rewrite the subtracting problem as an addition problem. Then use the addition rules.

When you subtract, you are really adding the opposite, so I use theKeep-Change-Change rule.

The Keep-Change-Change rule means:

Keep the first number the same.

Change the minus sign to a plus sign.

Change the sign of the second number to its opposite.

Example:

12 - (-5) =

12 + 5 = 17

Multiplying and Dividing Integers

The great thing about multiplying and dividing integers is that there is two rules and they apply to both multiplication and division!

Again, you must analyze the signs of the numbers that you are multiplying or dividing.

The rules are:

If the signs are the same, then the answer is positive.

If the signs are different, then then answer is negative.

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