Which property of real numbers is illustrated by the equation?

Mathematics

1 answer:

Anna007 [38]3 years ago

8 0

9514 1404 393

Answer:

additive inverse

Step-by-step explanation:

The equation shows that the sum of a number and its additive inverse is zero. This is the additive inverse property.

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Additional comments

This property is used, together with the identity property of addition, to solve equations by making terms disappear where you don't want them.

Example:

x + 1 = 3

We would like to remove the +1 in order to find the value of x. Using the additive inverse property, we add the additive inverse of +1 to both sides of the equation.

x +1 -1 = 3 -1

The additive inverse property tells us the sum of +1 and -1 is zero, so this becomes ...

x +0 = 2

The additive identity property tells us the sum of x and 0 is simply x, so ...

x = 2

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Solve the system of linear operations

zhenek [66]

Answer:

$\boxed{(-2,1)}$

Step-by-step explanation:

$\left \{ {{5x+2y=-8} \atop {x+4y=2}} \right.$

I'll be solving this system of equations using the elimination method since the x and y values are neatly lined up.

I want to get a pair of x's or y's that cancel out, and it looks like the easiest way to start would be by multiplying the first equation by -2 (the y's will cancel).

I chose to multiply the first equation by -2 instead of multiplying the second equation by 5 because -2 is a smaller number and easier to multiply by.

$-2\times(5x+2y=-8)$