Question

linear systems test
multiple choice (4 points each)
identify the choice that best completes the statement or answers the question.

1. what is the solution to the following system?

$$ \begin {cases} y = 4 x + 3 \\\\ - x - 2 = y \end {cases} $$

1. which of the following is not a method used to solve a system of linear equations?

a. substitution
c. regression
b. elimination
d. graphing

1. what does a solution to a system mean?
2. match the graphs of linear systems to the number of solutions:

a. infinitely many solutions
c. 0
b. 1

Explanation:

Step1: Substitute \(y=-x - 2\) into \(y = 4x+3\)

\(-x - 2=4x+3\)

Step2: Solve for \(x\)

\(-x-4x=3 + 2\)
\(-5x=5\)
\(x=-1\)

Step3: Substitute \(x = - 1\) into \(y=-x - 2\)

\(y=-(-1)-2\)
\(y=1 - 2\)
\(y=-1\)

Answer:

The solution to the system is \((-1,-1)\)