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postnew [5]
3 years ago
13

Solve the system of equations.2r+3s=-53r+5s=-9Type an ordered pair​​

Mathematics
1 answer:
Lynna [10]3 years ago
7 0

Answer:

2r + 3s= 9 <=> -6r -9s = -27;

3r + 2s= 12 <=> 6r + 4s = 24;

                   => 0*r -5*s = -3 => s = 3/5;

2*r + 3*(3/5) = 9<=> 10*r + 9 = 45 <=> 10*r = 36 => r = 18/5;

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Methane, CH4 burns in oxygen gas to form water and carbon dioxide
Triss [41]

Answer:

2 CH4(g) + 4 O2(g) --> 2 CO2 (g)+ 4 H2O(g)

Step-by-step explanation:

The number are subscripts.  

Now count the number of each kind of atom on the left and right side of the equation. Note, you have 4 H on the left and as written you have only 2 on the right. So add a coefficient-- a number in front of the formula.  

CH4 +O2 ----- CO2 + 2 H2O  

With the added coefficient in front of water, the number of hydrogens balance but the number of oxygens do not. There are only 2 oxygens on the left and a total of 4 oxygens on the right. A coefficient of 2 in front of oxygen on the left balances the equation.  


7 0
4 years ago
Simplify<br>1)5x+3=x+13<br>2)5/2x-1/X =1/6​
Artyom0805 [142]

Step-by-step explanation (Question 1):        

<u>Step 1: (Question 1): Subtract x from both sides.</u>

5x+3=x+13

5x+3−x=x+13−x

4x+3=13

<u>Step 2: (Question 1): Subtract 3 from both sides.</u>

4x+3−3=13−3

4x=10

<u>Step 3: (Question 1): Divide both sides by 4.</u>

4x/4 = 10/4

FIRST ANSWER: x = 5/2

Step-by-step explanation (Question 2):      

<u>Step 1: (Question 2): Multiply by LCM</u>

15x^2 - 6 = x

<u>Step 2: (Question 2): Solve 15x^2</u>

15x^2 - 6 = x:

x = 2/3

x = -3/5

<u>Step 3: (Question 2): Solve</u>

ANSWER: x=0.666667 or x=−0.6

See Attachment 1 for question 1 steps (FULL)

See Attachment 2 for question 2 steps (FULL)

Answer:    

1)   x = 5/2

2)  x=0.666667 or x=−0.6

 

Hope this helps.

8 0
3 years ago
Read 2 more answers
Constructing a box. From a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by
shtirl [24]

height=x length=20-2(what u cut out)=20-2x width=30-2(what u cut out)=30-2x so v(x)=l*w*h=x(20-2x)(30-2x) b) (0,10)

6 0
4 years ago
Jk=12 j lies at 4 where could k be located ?
NikAS [45]

Answer:

16,-8

Step-by-step explanation:

jk=12

j lies at 4

k lies at 4+12=16

or k lies at 4-12=-8

8 0
4 years ago
The system of equations
ICE Princess25 [194]

Answer:

z = -12

Step-by-step explanation:

Rewritting the equations, we have:

x + y = xy (eq1)

2x + 2z = xz (eq2)

3y + 3z = yz (eq3)

From the first equation:

x = y/(y-1) (eq4)

From the third equation:

y = 3z/(z - 3) (eq5)

Using the value of y from (eq5) in (eq4), we have:

x = [3z/(z - 3)] / [3z/(z - 3) - 1]

x = [3z/(z - 3)] / [(3z - z + 3)/(z - 3)]

x = 3z / (2z + 3) (eq6)

Using the value of x from (eq6) in (eq2), we have:

6z / (2z + 3) + 2z = (3z / (2z + 3))*z

(6z + 4z^2 + 6z) / (2z + 3) = 3z^2 / (2z + 3)

12z + 4z^2 = 3z^2

z^2 = -12z

z = -12

3 0
4 years ago
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