Solve by Substitution
Solve the systems of equations using substitution:
–3x − 6y = –9
x = 7
(7,-2)
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
What is the variable that represents slope?
m
2 numbers have a difference of 4 and a sum of 14 what are the two numbers?
9 and 5
Solve the systems of equations using substitution:
-3x + 4y = -2
y = 2x+2
(-2, -2)
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
What is the slope of y= 7x+9
m= 7
A farmhouse shelters 13 animals, some are pigs, and some are ducks. Altogether there are 48 legs. How many of each animal are there?
11 pigs 2 ducks
Solve the systems of equations using substitution:
y= - x+5
2x+y=11
(6, -1)
Solve the systems of equations using Elimination:
2x+y=12
2x+y=6
No Solution
Solve for x
7x = 21
x=3
There are 15 total bicycles and tricycles and 37 combined wheels, how many bikes and trikes are there?
8 bikes
7 trikes
Solve the systems of equations using substitution:
y=-x
y=-2x-5
(-5, 5)
Solve the systems of equations using Elimination:
2x + 5y = -24
3x - 5y = 14
(-2,-4)
What is the y-intercept in y=8x+1
b=1
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156. How many sundaes and banana slips did they sell?
36 sundaes 28 banana splits
2x - 3y = 21
y = 4x + 3
(-3,-9)
Solve the systems of equations using Elimination:
–x + 6y = 14
3x − 6y = –18
(-2, 2)
What is the variable that represents the y-intercept?
b
If Mary has 36 coins totaling $3.00, and the coins are all nickels and quarters, how many of each coin does she have?
30 nickels 6 quarters