FINDING THE ANSWER USING SUBSTITUTION!!!!!!!!!!!!!!!!!!!!!!!
In substitution, we first need to find out what the two equations we are going to be using. Let x = the number of hamburgers sold, and let y = the number of sodas sold. Since you are selling hamburgers for $1.50 each, you can get the variable 1.5x, and since you are selling sodas for $0.50 each, you can get the variable 0.5y. You also know that the sum of the hamburgers and sodas equal $78.50, so you can combine the variables together into an equation, 1.5x+0.5y=78.5. Next, we want to find the second equation. We know that you sold a total of 87 products, and how many hamburgers and sodas you sold each are unknown, so you get the equation x+y=87.
Step-by-Step Procedures:
1.5x+0.5y=78.50
x+y=87
Rewrite x+y=87!!!!!!!!!!!!!!!!!!!!!
x+y=87
x-x+y=87-x
y=87-x
y=-x+87
Now substitute this equation in the 1st equation and solve for x!!!!!!!!!!!!!!!!!!!!!!!
1.5x+0.5(-x+87)=78.5
1.5x+(-0.5x)+43.5=78.5
x+43.5=78.5
x+43.5-48.5=78.5-43.5
x=35.
Now substitute your y-value for x (35) and solve for y.
y=-x+87
y=-35+87
y=52.
(35, 52) is the solution to this system.
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.
Step-by-Step Procedures:
1.5x+0.5y=78.50
x+y=87
Rewrite x+y=87!!!!!!!!!!!!!!!!!!!!!
x+y=87
x-x+y=87-x
y=87-x
y=-x+87
Now substitute this equation in the 1st equation and solve for x!!!!!!!!!!!!!!!!!!!!!!!
1.5x+0.5(-x+87)=78.5
1.5x+(-0.5x)+43.5=78.5
x+43.5=78.5
x+43.5-48.5=78.5-43.5
x=35.
Now substitute your y-value for x (35) and solve for y.
y=-x+87
y=-35+87
y=52.
(35, 52) is the solution to this system.
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.