Question

Now, perform the same move to both sides of the equation to find the value of x.
y= 4x−5
x= −6y+20
x
=
−6(4x−5) + 20

x
=
−6(4x+−5) + 20

x
=
−24x + 30 + 20

x
=
−24x + 50
+
24x
+
24x

25x
=
50

x
=

Answer 1

Let's go through the steps you've outlined and solve for \( x \).

Starting with the equations:

1. \( y = 4x - 5 \)
2. \( x = -6y + 20 \)

We substitute \( y \) in the second equation:

\[
x = -6(4x - 5) + 20
\]

Next, distribute the -6:

\[
x = -24x + 30 + 20
\]

Combine the constants on the right side:

\[
x = -24x + 50
\]

Now, we'll add \( 24x \) to both sides to combine \( x \):

\[
x + 24x = 50
\]

This simplifies to:

\[
25x = 50
\]

Now, divide both sides by 25:

\[
x = \frac{50}{25}
\]

\[
x = 2
\]

Thus, the value of \( x \) is \( 2 \).