All categories

3 years ago

How do I solve this systems of three equations problem?

Mathematics

1 answer:

Serhud [2]3 years ago

3 0

Answer:

You have to eliminate one of the variables when the equations are added.

A) x + 2y + z = 10

B) 2x -y +3z = -5

C) 2x -3y -5z = 27

We mulutiply A) by 2 then add it to B and C

A) 2x + 4y + 2z = 20 and the sum =

6x = 42 Luckily, the "y" and "z" variables cancel out and we find:

x = 7

Then we use x =7 in calcucating equation A) and B)

A) 2y + z = 3

B) -y + 3z = -19

THEN solve for y and z by eliminating variables.

Step-by-step explanation:

You might be interested in

Solve the following system algerbraically: y=-3(x-2) squared+4 y=-6x+16

pishuonlain [190]

$y = - 3(x - 2) ^{2} + 4$
$y = - 6x + 16$
distribute the -3 and the square into the first equation
$y = - 3x ^{2} + 12x - 8$
$y = - 6x + 16$
multiply the second equation by 2
$y = - 3x ^{2} + 12x - 8$
$y = - 12x + 32$
add the equations together
$y = - 3x ^{2} + 24$
factor out -3
$y = - 3(x ^{2} - 8)$
factor inside parenthesis
$y = - 3(x + \sqrt{8} )( x - \sqrt{8})$
refine
$y = - 3(x + 2 \sqrt{2} )(x - 2 \sqrt{2} )$

8 0

3 years ago

What is the percent when the balance goes from $300 to $60?

joja [24]

Answer:

80% decrease

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

HELP ILL GIVE BRAINLIEST QUICKK

ehidna [41]

Answer:

The second one

Step-by-step explanation:

Your one is the correct

8 0

3 years ago

HELP MEEE PLS recipe cslls for 2 cups of suger and makes 48 cookies recipe B calls for 3 cups of suger and makes 54 of the same

JulijaS [17]

Answer:

So, when we solve for x we see that we can make 16 cookies using 1 cup of sugar. Then, yes, as you suggested we could divide 30 cookies by this ratio to see that we need less than 2 cups of sugar to make 30 cookies: And, as you said, this value is less than 2 cups, the value under Quantity B. Good job! I hope this helps :)

Step-by-step explanation:

5 0

3 years ago

Divide to find equivalent fractions 40/100=10/10

Aleks04 [339]

Answer:

4/10=1

Step-by-step explanation:

Divide both fractions by 10 and you get 4/10=1

6 0

3 years ago