Now, evaluate the expression on the right side of the equation to find the value of y.

y= 4x−5
x= −6y+20
x = 2

y
=
4x−5

y
=
4 · 2 − 5

y
=

1 answer

To find the value of \( y \) using the expression \( y = 4x - 5 \) and substituting \( x = 2 \):

  1. Start with the equation: \[ y = 4x - 5 \]

  2. Substitute \( x = 2 \) into the equation: \[ y = 4 \cdot 2 - 5 \]

  3. Calculate \( 4 \cdot 2 \): \[ 4 \cdot 2 = 8 \]

  4. Now substitute this back into the equation: \[ y = 8 - 5 \]

  5. Finally, calculate \( 8 - 5 \): \[ y = 3 \]

So, the value of \( y \) is \( \boxed{3} \).