Question

y=5x-3
x=5x-3-5
Find the solution to the system of equation

Answer 1

To solve the system of equations given by:

1. \( y = 5x - 3 \)
2. \( x = 5x - 3 - 5 \)

First, simplify the second equation:

\[
x = 5x - 8
\]

Now, rearrange this equation to isolate \(x\):

\[
x - 5x = -8
\]
\[
-4x = -8
\]
\[
x = 2
\]

Now that we have found \(x = 2\), we can substitute this value into the first equation to find \(y\):

\[
y = 5(2) - 3
\]
\[
y = 10 - 3
\]
\[
y = 7
\]

Thus, the solution to the system of equations is:

\[
(x, y) = (2, 7)
\]

So the solution is:

\[
\boxed{(2, 7)}
\]