Question

Instructions: Graph by hand or using a calculator to determine the solution to the given system. Put in slope-intercept form first if necessary.

Answer 1

Solution: (-1, -1).

Here’s how we can solve the system of equations:

5x−y=−4

3x+y=−4

We can solve the system of equations using elimination.

Steps to solve:

1. Eliminate y:

Add the top and bottom equations together.

8x=−8

Divide both sides by 8 to isolate x.

x=−1

2. Substitute x back into either of the original equations to solve for y:

Substitute x = -1 into the top equation.

5(−1)−y=−4

-5 - y = -4

-5 + 5 - y = -4 + 5

-y = 1

y = -1

Answer 2

Solution: (-1, -1)

Explanation:

The solution of a system by means of the graphical method is the intersection between the graph of each equation of the corresponding straight line.

Therefore, we graph each equation using a graphing calculator and determine the intercept, like this:

Therefore, the solution of the system is (-1, -1)