Question

Solve the following system of equations by the substitution method. 5x = y + 6 2x - 3y = 4 What is the value of the y-coordinate?

Answer 1

Why do I have to put 20 characters here?

Answer 2

Hello!

Solve the following system of equations by the substitution method. 5x = y + 6 2x - 3y = 4 What is the value of the y-coordinate?

Solving:

5x = y + 6 (I)

2x - 3y = 4 (II)

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We have:

`5x = y + 6 \to x = (y+6)/(5)`

Soon:

`2x - 3y = 4`

`2* \left((y+6)/(5)\right) - 3y = 4`

`(2y+12)/(5) - 3y = 4`

least common multiple (5)

`(2y+12)/(5) - 3y = 4\to (2y+12)/(\diagup\!\!\!\!\!5) - (15y)/(\diagup\!\!\!\!\!5) = (20)/(\diagup\!\!\!\!\!5)`

`2y + 12 - 15y = 20`

`- 15y + 2y = 20 - 12`

`- 13\:y = 8`

`\boxed{\boxed{y = - (8)/(13) }}\end{array}}\qquad\quad\checkmark`

Answer:

- 8/13

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I Hope this helps, greetings ... Dexteright02! =)