Question

Make sure you read the directions for each part carefully. This system of equations will be used in all three parts of this question.
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

Part 1: Solve the system by graphing.

x-2y=0 ,5x+2y=24 Solve each equation for y

y=x/2 & y=-5x/2+12 Identify slope and y −intercepts,

Standard form y=mx+c
m=slope=rise/run & c=constant

m=1/2,c=0 & m=-5/2,c=12
y-intercepts
To graph each equation, we start at the y-intercept and use the slope rise/run to get the next point and connect the dots.

Answer 2

Part 2:The substitution method.
x-2y=0,5x+2y=24
Find the lone variable
y=x/2
Substitute into the untouched equation
5x+2*x/2=24 Solve for x
6x=24
x=4.
Plug into lone variable equation and evaluate
y=4/2=2.
ordered pair (4,2)