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seraphim [82]
2 years ago
10

Which two steps should be used first in solving the system of equations

Mathematics
2 answers:
Inessa05 [86]2 years ago
7 0

Answer:

The value of x , y  using substitution method is 2 , 5

Step-by-step explanation:

Given as :

The two linear equation as

6 y - 4 x = 22            .......1

y + 2 x = 9                

Let y = 9 - 2 x             .......2

Now, using substitution method

Substitute the value of y from eq 2 into eq 1

i.e 6 × (9 - 2 x) - 4 x = 22

Or, 54 - 12 x - 4 x = 22

Or, 12 x + 4 x = 54 - 22

Or, 16 x = 32

∴  x = \dfrac{32}{16}

i.e x = 2

Now, Put the value of x into eq 2

∴ y = 9 - 2 x

So, y = 9 - 2 × 2

Or, y = 9 - 4

i.e y = 5

So, The value of x , y = 2 , 5

Hence, The value of x , y  using substitution method is 2 , 5   Answer

Goryan [66]2 years ago
7 0

Answer:

first step :  option B

second step :  option D

Step-by-step explanation:

  • first,  Solve the second equation for y and then substitute this value into the first  equation.
  • after this, you will get the value of y then substitute this value in of the equations to get x.
  • so, option B will be the first step to solve and option D is the second step.
  • the other two steps are wrong.
  • this is a standard way to solve any 2 given equations with 2 variables.
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Answer:

Number of​ restaurant-purchased meals eaten in a​ restaurant = 70

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Step-by-step explanation:

Let the number of people that will eat in a restaurant be R.

Let the number of people that will eat in a car be C.

Let the number of people that will eat in a home be H.

From the information given in the problem we have,

R+C+H = 152 ____equation (1)

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1) Plugging in R=H+10 from equation 3 into the equation 2, we get

C+H-R=12

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2) Cancelling out +H and -H, we get

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4) Cancelling out -10 and +10, we get

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22+H-R-22 = 12-22

Cancelling out +22 and -22 from the left side,

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7) Adding equation 4 and equation 5, we get

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8) Cancelling out R and -R from the left side, we get

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13) Cancelling out +82 and -82 from the left side, we get

R = 70

<em>So, C=22, H=60, R=70</em>

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