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Digiron [165]
3 years ago
13

The first equation of the system is multiplied by 2. By what number would you multiply the second

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

we will have to multiply the second equation by 3 to eliminate the y variable by adding.

Step-by-step explanation:

Given the equations

4x – 3y = 6              →   (1)

6x + 2y = 10             →   (2)

As the first equation is multiplied by 2,

2(4x – 3y) = (2)6

8x - 6y = 12               →  (3)

As we have to eliminate y,

so multiply the second equation by 3,

6x + 2y = 10

3(6x + 2y) = 3(10)

18x + 6y = 30              →  (4)

So now adding the new equations (3) and (4) will eliminate the y variable by adding

8x - 6y = 12

18x + 6y = 30

--------------------

26x + 0y = 42

26x = 42

x = 42/26

x = 21/13

Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.

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Here is your question: 7/6 divided by 2.

= 7/6÷2 = 7/6 * 1/2 =.

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6 0
3 years ago
Read 2 more answers
A rectangular tank has length 4m, width 12m and height 3.5..i. If the tank is filled with water 2/3 of its capacity ,calculate t
ipn [44]

Answer:

The volume of the water in the tank is 112 m³

Step-by-step explanation:

The volume of the rectangular prism V = L × W × H, where

  • L is its length
  • W is its width
  • H is its height

∵ A rectangular tank has a length of 4 m, a width of 12 m, and

   a height of 3.5 m

∴ L = 4 m

∴ W = 12 m

∴ H = 3.5 m

∵ V = L × W × H

∴ The volume of the tank = 4 × 12 × 3.5

∴ The volume of the tank = 168 m³

∵ The tank is filled with water  \frac{2}{3} of its capacity

→ That means the volume of the water is  \frac{2}{3}  the volume of the tank

∵ The volume of the water = \frac{2}{3} the volume of the tank

∴ The volume of the water =  \frac{2}{3} × 168

∴ The volume of the water = 112 m³

∴ The volume of the water in the tank is 112 m³

3 0
3 years ago
What is the distance from point Yto wx in the figure below?
vovikov84 [41]

Answer:

C

Step-by-step explanation:

The distance YZ is sqrt(34^2-30^2)=16

6 0
3 years ago
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X^2-10x+8=0 by completing the square
OverLord2011 [107]
When completing the square <span>x=9.12311 and </span><span>x=<span>0.876894</span></span>
4 0
3 years ago
Question in attachment​
Damm [24]

Answer:

a) scale factor = 1.5

b) d length is 7.5

c) Area scale factor is 2.25

Step-by-step explanation:

Given QR =6

And ST =9

Length Scalar factor = enlarged length /previous length

 =9/6

 =1.5

Length Scalar factor =1.5

b)we know PS enlarged length of PQ

Length scale factor = PS/PQ

1.5 =PS/5

PS =5×1.5

PS =d =7.5

d length is 7.5

c)Formula :

Area scale factor = (length scale factor)2

=(1.5)2

=2.25

Area scale factor is 2.25

5 0
2 years ago
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