Using substitution to solve
x+y=14 x-y=4
POI= (9,5)
3x + 2y = 16
4x- 2y = 8
Answer =
X = 24/7 y = 20/7
The sum of Abdul’s and Josh’s ages is 36 Josh is 4 years younger than Abdul. How old are they?
x+(x+4)=36
Josh is 16
Abdul is 20
3x + x -2y + 3= -5
y = 2x + 4
3x-y=3 9x-3y=9
POI (0,-3)
2x + 3y = 12
4x - 3y = 6
solution :
X = 3, y = 2
Diljeet has 21.5 more Cardboard boxes than Will in total they have 37.5 Cardboard boxes. How many Cardboard boxes does Diljeet have? How many Cardboard boxes does Will have?
Diljeet has 29.5 boxes
Will has 8
12x + 4y - 3 = 17
y = -3x + 5
y=-7x+3 y=-5x+5
POI= (-1,10)
5x - 4y = 10
2x + 4y =12
x= 22/7 , y 10/7
Ben is hiking and took 2 hours to travel 24 km down a steep hill. The return trip (up the hill) took 3 hours. What was the speed of the Ben? How much difference was the hill making to ben's pace?
x=Bens hiking speed
y=The difference the hill is making to his speed
speed=10 km/h
diffrence the hill makes=2 km/h
-14x -y -y + -2 = 4
y = -7x - 3
-3x=-5y+7 2y=x-5
POI (-39,-22)
7x + 3y = 34
5x - 3y = 18
Answer =
X = 13/3
Y = 11/9
Luch needs to make 10L of 42% bubbles for Mop bucket.The Soap solutions available are 30% soap and 50% soap. How many liters of each soap are needed to make the 42% soap?
30% soap=y
50% soap=x
Luch needs 6L of 50% soap and 4L of 30% soap
7x + 5x - 6y + 37 = -11
y = 2x + 8
2x+y=5 x-2y=-1
POI (9/5,7/5)
6x - 2y = 8
3x + 2y = 14
Answer =
X = 22/9
Y =10/3
Jason invests his summer earnings of $3050. He invests part of the money at 8% per year and the rest at 7.5% per year. After one year these investments make $242 in simple interest. How much did he invest at each year?
Jason invested $400 into the 7.5% account and $2,650 into the 8% Account
-x + 5x + 4y - 2y + 19 = 7
y = -2x - 6