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Which two steps should be used first in solving the system of equations
by substitution?
6y - 4x = 22
y + 2x = 9
A. Multiply the first equation by 4 and the second equation by 2.
B. Solve the second equation for y and then substitute this value into the first
equation.
C. Subtract the terms in the second equation from the first equation and then
solve for y.
D. Substitute 9 for y in the first equation and then solve the other equation for x.

Respuesta :

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 = [tex]\dfrac{32}{16}[/tex]

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

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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