Question

Adria has the following system of equations on her math homework.
-2x + y = 6
x - y = 1
What is the value of x in the solution to this system of equations?
-8
07
08
-7

Answer 1

To solve the system of equations:

1. The first equation is:
\(-2x + y = 6\)

2. The second equation is:
\(x - y = 1\)

We'll use the substitution method. First, we can solve the second equation for \(y\):

\[
y = x - 1
\]

Now we can substitute this expression for \(y\) into the first equation:

\[
-2x + (x - 1) = 6
\]

Simplifying this equation:

\[
-2x + x - 1 = 6
\]

Combining like terms:

\[
-x - 1 = 6
\]

Now, add 1 to both sides:

\[
-x = 7
\]

Multiplying both sides by -1:

\[
x = -7
\]

Thus, the value of \(x\) in the solution to this system of equations is \(\boxed{-7}\).