y = x + 4
y = 2x + 5
r + s = -6
r - s = -10
x = 4y
2x + 3y = 22
y = 3x - 2
y = -x - 2
8a + 5b = 9
2a - 5b = -4
y = x - 2
3x - y = 16
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
Identify the two equations. Do Not Solve.
6x + 8y = 700
9x + 6y = 660
The solution to the system of equations:
y = 2x - 4
6x - 3y = 12
Infinitely Many Solutions
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
The difference between the first number and the second number is 9. Twice the first number plus three times the second number is 3. What are the two equations? (DO NOT SOLVE)
x - y = 9
2x + 3y = 3
Put in Slope-Intercept Form and graph the inequality. What does the line and shading look like? What is one possible solution?
2x + y < 6
x - y > -3
(0,0)
2a - 4b = 12
-8a + 16b = -48
3s - 2t = 4
t = 2s - 1
The sum of two numbers is 11. Three times the first number plus twice the second number is 28. What are the two numbers?
What are 6 and 5?
What are the THREE types of solutions AND describe them?
One Solution, No Solution (parallel lines), Infinitely Many Solutions (same line)
Put in Slope-Intercept Form and graph the inequality. What does the line and shading look like? What is one possible solution?
5x + 2y > 4
x + 4y < -8
(4,-4) is one possible solution
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
t + u = 12
t = (1/3)u
The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.
What is $15,000 for the son and $10,000 for the daughter?