All categories

3 years ago

Solve the linear system of equations using the linear combination method.

1 answer:

6 0

Hello!

4x - 9y = 20
2x - 6y = 16

You first need one of the variables have the same coefficient

We can do this by multiplying the second equation by 2

4x - 12y = 32

Subtract the equations to get rid of x

4x - 9y = 20
4x - 12y = 32

3y = -12

Divide both sides by 3

y = -4

Put y into one of the original equations

2x - 6(-4) = 16

Multiply

2x - -24 = 16

We you subtract a negative it is the same as addding

2x + 24 = 16

Subtract 24 from both sides

2x = -8

Divide both sides by 2

x = -4

The answers are x = -4 and y = -4

Hope this helps!

You might be interested in

A differential equation is an equation involving an unknown function and its derivatives. Consider the differential equation 0.

navik [9.2K]

Answer: hi your question is poorly written below is the correct question

answer :

a) y1 = Asint, y'1 = Acost , y"1 = -Asint

b) y2 = Bcost, y'2 = Bsint , y"2 = - Bcost

c) y = Asint + B cost satisfies the differential equation for any constant A and B

Step-by-step explanation:

y" + y = 0

Proves

a) y1 = Asint, y'1 = Acost , y"1 = -Asint

b) y2 = Bcost, y'2 = Bsint , y"2 = - Bcost

c) y3 = y1 + y2 , y'3 = y'1 + y'2, y"3 = y"1 + y"2

∴ y"1 + y1 = -Asint + Asint

y"2 + y2 = -Bcost + Bcost

y"3 - y3 = y"1 + y"2 - ( y1 + y2 )

= y"1 - y1 + y"2 - y2

= -Asint - Asint + ( - Bcost - Bcost ) = 0

Hence we can conclude that y = Asint + B cost satisfies the equation for any constant A and B

7 0

3 years ago

Does anyone know How much does the company charge per hour?<br> because I do not know

o-na [289]

Answer:

you either need a picture or show us some choices?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'?

Makovka662 [10]

Answer:

The answer is B I think.

5 0

3 years ago

Atleast Twice as many cars as vans<br><br>How would you interpret this

SOVA2 [1]

It means, the (number of vans) is equal to / more than (the number of cars doubled).

Hope this helps :)

3 0

4 years ago

What is the area of this quadrilateral(Please show a step by step process)

Tresset [83]

Answer:

40ft

Step-by-step explanation:

What you need to know is the formula for the air of a rectangle:

the long side * the short side.

First calculate the area of the rectangle in the middle: 3*8=24ft

Then we are left with two right-angled triangles, one on the left and one on the right. If we juxtapose them, we realize that it forms a rectangle whose large side measures 8 and the small 2 so 2*8=16ft.

Finally, just add the area of the middle rectangle with the area of our rectangle formed by the two triangles on the right and on the left. So 16+24=40ft

3 0

2 years ago