Systems of Equations
5x+y=8
-3x+2y=-10
(2,-2)
Which is a solution
y<2x+2
y>-x+1
a) (0,5)
b) (2,0)
c) (-1,-3)
d) (-6,4)
(2,0)
Is (1,8) a solution
2x+3y=26
y=6x+2
yes
How many solutions
y=-x+7
y=3x+3
one
Sam has 100 dimes and quarters. The total value of the coins is 21.40.
How many quarters and dimes
(24,76)
24 dimes
76 quarters
10x-8y=4
-5x+3y=-9
(6,7)
Which is a solution
2x+4y<12
3x-y<2
a) (-3,2)
b) (6,4)
c) (-1,-7)
d) (5,-2)
(-3,2)
Is (2,1) a solution
3x+4y=11
y=2x
no
How many solutions
y=3x+2
y=3x+5
One number is added to three times another number is 24. Five times the first number added to three times the other number is 36.
What is x and what is y
(3,7)
-15x+9y=27
-5x-y=17
(-3,-2)
Which is a solution
3x+4y>12
y>2x-1
a) (3,-5)
b) (6,0)
C) (-8,-1)
d) (-2,6)
D (-2,6)
Is (8,-2) a solution
-3x-10y=-4
x-5y=18
yes
How many solutions
6x-9y=6
x-y=3
one
Your friends go to dinner. Some order the fish for $14 and some order the chicken for $17 for a total bill of $99. There are 6 people at dinner.
How many order the chicken and how many order the fish
(1,5)
1 order fish
5 order chicken
-7x-8y=-23
4x+4y=12
(1,2)
Which is a solution
y<3x+1
x-y>1
a) (-1,4)
b) (4,5)
c) (-3,-6)
d) (7,-2)
d (7,-2)
Is (3,5) a solution
-6x+y=17
-7x-y=-22
no
How many solutions
y=2x+7
2x+7=y
many
Elly bought 3 DVDs and 4 books for $40 at a yard sale, Emily bought 1 DVD and 6 books for $18.
How much did the each DVD and book cost
(12,1)
DVD is 12
book is 1
4x+3y=-8
-8x+y=-12
(1,-4)
Which is a solution
2x-3y<9
a) (6,-4)
b) (-1,-9)
c) (2,5)
d) (-3,-3)
d (-3,-3)
Is (3,-1) a solution
-5x-y=2
4x+3y=5
no
How many solutions
y=6x-2
y=6x+4
None
Jo has 36 nickels and quarters. Their total value is $3.00.
How many nickels and quarters are there?
(30,6)
30 nickels and 6 quarters