Solve by Substitution
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
Alfred is four years older than Tina. Together they are 36 years old.
Alfred is how many years old?
Alfred is 20 years old
How do you find the solution set to systems of linear inequalities?
where the shaded regions intersect after graphing
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
There are 3 more nickels than dimes, but 41 coins in all.
How many are dimes are there?
19 dimes
22 nickels
Solid line means....
the solution can be on the line
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = 0
No Solution
At the concession stand, the first order is 5 candy bars and 2 hamburgers costing $15. The second order is 2 candy bars and 2 hamburgers for $12.
How much does one candy bar cost?
Candy bars are $1
Hamburgers cost $5
Dashed Line means....
< or >
OR
the solution is not included on the line
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
In PE class, there is a total of 31 high schoolers. The number of girls is ten more than twice the number of boys.
How many girls are in PE class?
24 girls
7 boys
Is (1,1) a solution to this inequality?
y< 2x + 7
Yes
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
Solve the systems of equations using Elimination:
-15x + 6y = -36
8x - 6y = 22
(2, -1)
At the local fair, a group with 2 adults and 5 children can enter for $25. Another group with 4 adults and 9 children can enter for $47.
How much does it cost an adult to enter the local fair?
Adults cost $5
Children cost $3
Is (0,0) a solution to the system of inequalities below?
y< x+3
y> -2x+5
No
(It is included in the first inequality, but not the second)