Question

HELP!! FULL WALK THROUGH WITH ANSWER FOR 15 POINTS!!

x - 2y = 0
5x + 2y = 24

Part 1: Solve the system by graphing. Draw the graphs on paper and indicate their intersection point. Type the ordered pair solution here as your answer to Part 1.

Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordered pair.

Part 3: Solve the system using the addition method. Show all work here and indicate the solution for the system as an ordered pair.

Answer 1

Original System: x - 2y = 0; 5x + 2y = 24

In order to graph this system, you need to find the slope of each line and the y intercept of each line. The easiest way to do this is to put both equations into slope intercept form, which is y = mx + b

x - 2y = 0
- x - x
-------------------
2y = -x + 0
------ ---- ----
2 2 2

y = -1/2x

For this equation, the slope is 1. The x intercept is 0.


5x + 2y = 24
- 5x - 5x
------------------------
2y = -5x + 24
------ ------ ------
2 2 2

y = -5/2x + 12

In this equation, the slope is -5/2 and the y intercept is 12.

When you plug in these equations on Desmos, look at the exact point where the lines intersect. This will be your final answer to the system of linear equations.
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