Q9. - Algebra 1

Question

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

What is the solution to the following system of equations? Show your work.

$\left\{\begin{array}{l}y=6x-1\\ y=6x+4\end{array}\right.$

Step-by-Step Solution

Answer

There is no solution of the given system of equations.

Step 1. Write the given system of equations.

The given system of equations is:

$\begin{array}{l}y=6x-1\left(1\right)\\ y=6x+4\left(2\right)\end{array}$

Step 2. Solve the given system of equations.

Substitute the value of $y$ from the equation (1) in the equation (2).

$$\begin{gathered} y=6x+4 \\ 6x-1=6x+4 \\ 6x-6x=4+1 \\ 0=5 \end{gathered}$$

The condition obtained is $0=5$ which is false. Therefore, the given system of equations has no solution.

 

Therefore, there is no solution of the given system of equations.