FINDING THE ANSWER USING Graphing!!!!!!!!!!!!!!!!!!!!!!!
In graphing, it will be easier to change the equations into Slope-Intercept form because it's easier to graph equations when they are in Slope-Intercept form. Since we already know the two equations (1.5x+0.5y=78.50 and x+y=87), we can start changing the equations into Slope-Intercept Form.
Step-by-Step Procedures:
1.5x+0.5y=78.50
x+y=87
Changing the equations into Slope-Intercept form!!!!!!!!!!!!!!!!!!!!!!
To change the two equations, you just need to isolate the y-variable on one side and all the other components on the other side.
1.5x+0.5y=78.50
1.5x-1.5x=0.5y=78.50-1.5x
(0.5y)/(0.5)=(-1.5x+78.50)/(0.5)
===============
y=-3x+157
x+y=87
x-x+y=87-x
==========
y=-x+87
Graph the two equations on the coordinate plane!!!!!!!!!!!!!!!!!!!!!!!
Now since you have gotten the two equations, just graph them on a coordinate plane.
(Example Below.... The red line is y=-3x+157 and the green line is y=-x+87.)
Step-by-Step Procedures:
1.5x+0.5y=78.50
x+y=87
Changing the equations into Slope-Intercept form!!!!!!!!!!!!!!!!!!!!!!
To change the two equations, you just need to isolate the y-variable on one side and all the other components on the other side.
1.5x+0.5y=78.50
1.5x-1.5x=0.5y=78.50-1.5x
(0.5y)/(0.5)=(-1.5x+78.50)/(0.5)
===============
y=-3x+157
x+y=87
x-x+y=87-x
==========
y=-x+87
Graph the two equations on the coordinate plane!!!!!!!!!!!!!!!!!!!!!!!
Now since you have gotten the two equations, just graph them on a coordinate plane.
(Example Below.... The red line is y=-3x+157 and the green line is y=-x+87.)
Find the intersection!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the coordinate point where both lines meet, and that will be your ANSWER!!!!!!!!!!!!!!!(Example Below.... The red line is y=-3x+157 and the green line is y=-x+87.)
Find the coordinate point where both lines meet, and that will be your ANSWER!!!!!!!!!!!!!!!(Example Below.... The red line is y=-3x+157 and the green line is y=-x+87.)
As you can see from the picture, the intersection point is (35, 52) which means your answer is 35 hamburgers and 52 sodas.
Check your answers!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1.5x+50y=78.5
1.5(35)+50(35)=78.5
52.5+26=78.5
and....
x+y=87
35+52=87.
Check your answers!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1.5x+50y=78.5
1.5(35)+50(35)=78.5
52.5+26=78.5
and....
x+y=87
35+52=87.