Blake went to the s hopping mall to buy school clothes...

Question

Blake and Jacob went shopping for back to school clothes. Blake bought three shirts and one pair of pants and spent $38.00. Jacob bought 4 shirts and three pair of pants and spent $71.50. Assuming the shirts and the pants were the same price. What was the cost of each?

 

The x stands for (___) and the y stands for (___). The system of equations written in slope-intercept form are (___) and (___). The solution for the system of equations is (___ , ___).

Answer 1

3S+P = 38

9S+3P=114

4S+3P = 71.5 subtract

5S = 42.5

S= 42.5/5 = $8.50 for a shirt

P=38-3(8.5) = 38-25.5= $12.50 for pants

use x for S, y for P, x stands for shirt price, y= pants price

2 equations are 3x+y=38 or y=-3x+38 where slope=-3 and y intercept = 38

and 4x +3y = 71.5 or y=-(4/3)x + 23.8333... -4/3=slope 23.8333...=intercept

solution is (x,y) = (8.5, 12.5)

Answer 2

3S+P = 38

9S+3P=114

4S+3P = 71.5 subtract

5S = 42.5

S= 42.5/5 = $8.50 for a shirt

P=38-3(8.5) = 38-25.5= $12.50 for pants

use x for S, y for P, x stands for shirt price, y= pants price

2 equations are 3x+y=38 or y=-3x+38 where slope=-3 and y intercept = 38

and 4x +3y = 71.5 or y=-(4/3)x + 23.8333... -4/3=slope 23.8333...=intercept

solution is (x,y) = (8.5, 12.5)