Question

Complete steps 2 and 3 to solve the system of equations.

  y = 4x – 5,

y = –3

1. Use substitution to create a one-variable linear equation: –3 = 4x – 5.

2. Solve to determine the value of the unknown variable.

3. Write the solution to the system of equations as an ordered pair.

The solution to the system is (
, –3).

Answer 1

Let's complete steps 2 and 3 to solve the system of equations.

Given:

1. \( y = 4x - 5 \)
2. \( y = -3 \)

You've already substituted \( y = -3 \) into the first equation:

**Step 2: Solve to determine the value of the unknown variable.**

Substituting gives us the equation:

\[
-3 = 4x - 5
\]

Now, add 5 to both sides:

\[
-3 + 5 = 4x
\]

This simplifies to:

\[
2 = 4x
\]

Now, divide both sides by 4:

\[
x = \frac{2}{4} = \frac{1}{2}
\]

**Step 3: Write the solution to the system of equations as an ordered pair.**

We found \( x = \frac{1}{2} \) and we know \( y = -3 \).

Thus, the solution to the system is:

\[
\left( \frac{1}{2}, -3 \right)
\]

So, the final solution to the system is:

The solution to the system is \(\left( \frac{1}{2}, -3 \right)\).