Question

what is the solution to the system of equations?
y = -5x + 3
y = 1
(0.4, 1)
(0.8, 1)
(1, 0.4)
(1, 0.8)

Explanation:

Step1: Substitute \( y = 1 \) into the first equation

We have the system \(

$$\begin{cases}y=-5x + 3\\y = 1\end{cases}$$

\). Substitute \( y=1 \) into \( y=-5x + 3 \), we get \( 1=-5x+3 \).

Step2: Solve for \( x \)

Subtract 3 from both sides of the equation \( 1=-5x + 3 \):
\(1-3=-5x\)
\(-2=-5x\)
Divide both sides by - 5:
\(x=\frac{-2}{-5}=\frac{2}{5}=0.4\)

Step3: Determine the solution

Since \( y = 1 \) and \( x=0.4 \), the solution of the system of equations is \( (0.4,1) \).

Answer:

\((0.4, 1)\) (corresponding to the option: (0.4, 1))