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vazorg [7]
3 years ago
11

Does anyone know how do solving systems of equations by elimination ?

Mathematics
1 answer:
larisa [96]3 years ago
6 0

Eliminate a single variable to find the value of another variable.

For example,

-2x+y=3\\2x+4y=2

Notice that -2x and 2x has the same "absolute" value right? -2x+2x = 0, that's how elimination work.

However, if you don't want to eliminate the "x", you can eliminate "y" instead.

Just simply multiply in.. From the equation above, we're going to eliminate y now.

However, both y in both equations are not the same (Doesn't have same coefficient) So we need to multiply in the equation that has the lesser coefficient (From both equations, the first equation has lesser coefficient)

So multiply 4 in -2x+y = 3 (To make the coefficient same.)

-2x(4)+4(y)=4(3)\\-8x+4y=12

Now we can eliminate y but we can't eliminate x because -8x and 2x both have the different variables.

-8x+4y=12\\2x+4y=2

However, it's 4y and 4y, not -4y and 4y. We can only eliminate as if the absolute of both variables are the same and the value must be opposite (Absolute of both variables are 4 but the value must be opposite aka one must be negative and another must be positive.)

So one of two 4y(s) must be negative, for me I'd choose -8x+4y=12 because -8x is in negative and I want it to be positive

So multiply "minus" in -8x+4y=12

-(-8x+4y)=-12\\8x-4y=-12

Now one is -4y, we can eliminate the y.

8x-4y=-12\\2x+4y=2

Then just simply eliminate y (-4y+4y = 0)

From x, 8x+2x = 10x and -12+2 = -10

10x = -10

x = -1 then substitute x in any equations but don't substitute in both equations, just one then you get the value of y.

You might be interested in
10+5-7=3y<br><br> -10x+5x+5=-15<br><br> 3x+2x-4x+10<br><br> pre algebra 8th grade math
jasenka [17]

Answer:

1) y=8/3=2 2/3   2) x=4    3) x+10

Step-by-step explanation:

1) 10+5-7=3y

Calculate the sum or difference.

8=3y

Swap the sides of the equation.

3y=8

Divide both sides by 3.

y=8/3=2 2/3

2) -10x+5x+5=-15

Collect like terms.

-5x+5=-15

Move the constant to the right-hand side and change the sign.

-5x=-15-5

Calculate the difference.

-5x=-20

Divide both sides by -5.

x=4

3) 3x+2x-4x+10

Collect like terms.

(3+2-4)x+10

Calculate the sum or difference.

1x+10

When the term has a coefficient of 1, it doesn't have to be written.

x+10

Hope this helps :)

5 0
2 years ago
What is the perimeter of the triangle
KengaRu [80]

The perimeter of the triangle is 40 units

<h3>Perimeter of a triangle</h3>

From the question, we are to determine the perimeter of the given triangle

From the given diagram, we can observe that the triangle is a right triangle

The vertical length of the triangle is 15 units

and the horizontal length of the triangle is 8 units

Thus,

We can find the hypotenuse by using the<em> Pythagorean theorem </em>

Let the hypotenuse be h

Then,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17 units

Now, for the perimeter of the triangle

The perimeter of a triangle is the sum of all its three sides

Thus,

The perimeter. P, of the triangle is

P = 15 + 8 + 17

P = 40 units

Hence, the perimeter of the triangle is 40 units

Learn more on Calculating perimeter here: brainly.com/question/17394545

#SPJ1

4 0
1 year ago
Which point below is not on the graph of h(x) ^3√x+64 = ? (65, 5) (-37, 3) (-72, -2) (-64, 0)
elena-14-01-66 [18.8K]

Answer:

(-37, 3)

Step-by-step explanation:

8 0
3 years ago
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QUICK 20 POINTS !!<br> Use the equation machine to solve this equation.<br><br> x = __
KonstantinChe [14]

Answer:

x=2 (-7 , then -5 for the drag part)

8 0
3 years ago
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Suppose f(x)=x^2 and g(x)=(1/3x)^2 which statement comepare the graph of f(x) to the graph of g(x)
statuscvo [17]

Answer: c

Step-by-step explanation:

8 0
3 years ago
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