Question

Y=5x
Y=9x+4
Solve by substitution

Answer 1

To solve the system of equations using substitution, we start with the two equations:

1. \( Y = 5x \)
2. \( Y = 9x + 4 \)

Since both equations are equal to \( Y \), we can set them equal to each other:

\[
5x = 9x + 4
\]

Now, we can solve for \( x \):

1. Subtract \( 9x \) from both sides:
\[
5x - 9x = 4
\]
\[
-4x = 4
\]

2. Divide by -4:
\[
x = -1
\]

Now that we have the value of \( x \), we can substitute it back into one of the original equations to find \( Y \). We can use the first equation \( Y = 5x \):

\[
Y = 5(-1) = -5
\]

Thus, the solution to the system of equations is:

\[
(x, Y) = (-1, -5)
\]

So, the solution is \( x = -1 \) and \( Y = -5 \).