Solve the System...
Name the solution
x=2y+3
4x-5y=9
(1,-1)
Solve by graphing
y=-x+3
y=x-3
(3,0)
Solve by substitution
y=2x
2x+y=8
(2,4)
Solve by elimination
x-5y=20
x+3y=-4
(5,-3)
The sum of two numbers is 16 and their difference is 20. What are the two numbers?
-2 & 8
Name the solution
x+2y=15
5x+y=21
(3,6)
Solve by graphing
x+y=-1
2x-3y=-2
(-1,0)
Solve by substitution
2x-y=3
5x+7y=17
(2,1)
Solve by elimination
8x-7y=5
3x-5y=9
(-2,-3)
Brent has $3.35 in quarters and dimes. If he has 23 coins in all, find the number of quarters and dimes.
7 quarters and 16 dimes
Name the solution
2x+3y=0
x+2y=-1
(3,-2)
Solve by graphing
y=3x+3
y=3x-2
No Solution
Solve by substitution
x+2y=-1
y=3x+3
(-1,0)
Solve by elimination
4x+6y=10
2x+5y=1
(11/2, -2)
Three times a number minus another number is -3. The sum of the numbers is 11. Find the numbers.
9 & 2
Name the solution
y=3x+1
x-2y=8
(-2,-5)
Solve by graphing
3x-y=-3
x+y=3
(0,3)
Solve by substitution
x+2y=1
2x+5y=3
(-1,1)
Solve by elimination
2x+2y=6
3x-2y=-11
(-1,3)
Kyle started a new job part of the way through last month that pays $7 per hour. He began the month making $5 per hour at his old job. Kyle worked a total of 54 hours last month and made $338 before deductions. How many hours did he work at his new job?
34 hours
Name the solution
5x-15y=-20
5x-4y=-9
(-1,1)
Solve by graphing
2x-y=5
4x-2y=10
Infinitely Many Solutions
Solve by substitution
3x+4y=11
2x+y=-1
(-3,5)
Solve by elimination
x+7y=16
3x-7y=4
(5, 11/7)
To qualify for a certain car loan, a customer must have a credit score of at least 600. In addition, the cost of the car must be at least $5000. Define the variables, write a system of inequalities to represent this situation, and name one possible solution.
x = credit score
y = car cost
x>=600 and y>=5000
One possible solution is 620 credit score and $5500 car.