Question

You just found that x = 2. You still need to find the value of y when x = 2. Let's use the first equation, y= 4x−5, since it's already written in terms of y. Start by substituting 2 for x in the first equation.
y= 4x−5
x= −6y+20
x = 2

y
=
4x−5

y
=
4 ·
−5

Answer 1

To find the value of \( y \) when \( x = 2 \) using the equation \( y = 4x - 5 \), substitute \( 2 \) for \( x \):

\[
y = 4(2) - 5
\]

Now, calculate it step-by-step:

1. Calculate \( 4 \times 2 \):
\[
4 \times 2 = 8
\]

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

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

So, when \( x = 2 \), the value of \( y \) is \( 3 \).

If you also want to verify this by using the second equation \( x = -6y + 20 \), you can replace \( y \) with \( 3 \):

1. Substitute \( y = 3 \) into \( x = -6y + 20 \):
\[
x = -6(3) + 20
\]

2. Calculate \( -6 \times 3 \):
\[
-6 \times 3 = -18
\]

3. Now substitute back:
\[
x = -18 + 20
\]

4. Calculate \( -18 + 20 \):
\[
x = 2
\]

This shows that both equations are consistent with each other. You correctly found \( y = 3 \).