Question

Solve the system of equations.

x − y = 3
7x − y = −3

Group of answer choices

x = -4

x = 2

x = -1

x = 0

Answer 1

To solve the system of equations:

1. \( x - y = 3 \) (Equation 1)
2. \( 7x - y = -3 \) (Equation 2)

We can solve this system by substitution or elimination. Let's use substitution.

From Equation 1, we can express \( y \) in terms of \( x \):

\[
y = x - 3
\]

Now, substitute this expression for \( y \) into Equation 2:

\[
7x - (x - 3) = -3
\]

Simplifying this gives:

\[
7x - x + 3 = -3
\]

Combining like terms:

\[
6x + 3 = -3
\]

Next, subtract 3 from both sides:

\[
6x = -6
\]

Now, divide both sides by 6:

\[
x = -1
\]

Now that we have \( x \), we can find \( y \) by substituting \( x = -1 \) back into Equation 1:

\[
y = -1 - 3 = -4
\]

So the solution to the system of equations is:

\[
x = -1, \quad y = -4
\]

The value of \( x \) among the choices provided is:

**x = -1**.