All categories

3 years ago

When solving an equation, why is it necessary to perform the same operation on both sides of an equal sign?

2 answers:

6 0

To get the right answer you must perform the same operation on both sides of the equation because the equation will not be correct if it is not. If you subtract something from one side to make it equal you must subtract it from both sides.

Anna007 [38]3 years ago

5 0

In order to keep the equation right, both sides have to balance each other. When you only perform an operation ( I'm assuming you're talking about division or multiplication) on one side, it messes up the balance because now one side is larger than the other.

You might be interested in

Using Cramer's rule to solve linear systems.

Rzqust [24]

Answer: Last Option

$x=2,\ y=-5$

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

$x =\frac{Det(A_X)}{Det(A)}$

$y =\frac{Det(A_Y)}{Det(A)}$

For this problem we know that:

$Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|$

Solving we have:

$|A|= 4*(-2) -(-6)*8\\\\|A|=40$

$Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|$

Solving we have:

$|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80$

$Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|$

Solving we have:

$|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200$

Finally

$x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2$

$y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5$

4 0

3 years ago

What is the solution of the system of equations? 6x-2y = 4 -9x+3y = 12

katrin2010 [14]

We will have the following:

First, we solve both equations for y, that is:

$6x-2y=4\Rightarrow-2y=-6x+4$ $\Rightarrow y=3x-2$

$-9x+3y=12\Rightarrow3y=9x+12$ $\Rightarrow y=3x+4$

From this we can see that they are parallel lines, that do not share any common points, so there is no solution for the system.

3 0

11 months ago

I will give brainliest

8090 [49]

Answer:

Equations 1 & 3 are correct.

Explanation:

Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.

3 0

2 years ago

Read 2 more answers

The equation (2x^2 - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2) is an example

Nookie1986 [14]

The method used is Distributive Property.

<h3>What is Distributive property?</h3>

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Given:

(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)

Here the property used is Distributive property.

Because distributive property in this way

a*(b+c)= a*b+ a*c

This is how a is being multiplied by with b and c.

Learn more about this Distributive property here:

brainly.com/question/4136433

#SPJ1

8 0

2 years ago

What is 1+1? I wonder if anyone would answer this cause no one seems to see my questions

stealth61 [152]

Your answer is gonna be two

7 0

3 years ago

Read 2 more answers