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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-example-1

2 Answers

4 votes

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.

User Peter Prabu
by
8.4k points
3 votes

Answer:

  • y = 6

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
User Pouki
by
8.1k points

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