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Use substitution to solve the following system of equations. What is the value of y?

Use Substitution To Solve The Following System Of Equations What Is The Value Of Y class=

Sagot :

Mhanifaidn

Answer:

  • y = 6

Step-by-step explanation:

Use the second equation:

  • 2x - y = 2 ⇒ y = 2x - 2

Substitute this into first equation:

  • 3x + 4(2x - 2) = 36
  • 3x + 8x - 8 = 36
  • 11x = 44
  • x = 4

Now find y:

  • y = 2*4 - 2
  • y = 8 - 2
  • y = 6
ItzTdsidn

It is given that,

→ 2x - y = 2

Convert the equation as,

→ y = 2x - 2

First we should,

find the required value of x.

→ 3x + 4(2x - 2) = 36

→ 3x + 8x - 8 = 36

→ 11x = 44

→ [x = 4]

Let's find the required value of y,

→ y = 2x - 2

→ y = (2 × 4) - 2

→ y = 8 - 2

→ [y = 6]

Therefore, the value of y is 6.

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