Starts With S
y = x + 4
y = 2x + 5
r + s = -6
r - s = -10
x = 4y
2x + 3y = 22
The sum of two numbers is 104. Their difference is 68. Write a system of equations to describe the problem. Define variables.
x+y=104
x-y=68?
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. Write a system of equation to solve?
6x+8y=700
9x+6y=660?
y = -3
x = 5
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
A student studied the system of equations
y=-4x+3
y=4x+3
They determined it was one solution. Are they correct? How do you know? What other steps would they need to take in order to solve the problem?
Yes, correct but the student still needs to use a strategy to find what that one solution is.(They still need to find the coordinate point x and y)
y = (1/3)x - 3
2x - y = 8
2a - 4b = 12
-8a + 16b = -48
3s - 2t = 4
t = 2s - 1
Describe how to graph the line y=-8/9x+3, using vocabulary words.
Plot the y-intercept first. Then use the slope to plot your second point, starting from the y-intercept.
The method used when you have to replace letters/numbers with expressions or numbers.
What is Substitution?
y - 3x = 3
y = 3x - 2
(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?