Solutions
When you graph a system and the lines are parallel, how many solutions are there?
What is No Solution?
How many solutions will the following system of equations have?
y = x + 4
y = 2x + 5
What is one solution
r + s = -6
r - s = -10
x = 4y
2x + 3y = 22
The admission fee at a small fair is $2 for children and $4 for adults. On a certain day, 800 people enter the fair and $2500 is collected. How many children and how many adults attended?
What is 350 children and 450 adults?
Is (2,3) the solution of the following system?
2x-9y=-23
3x+y=9
What is Yes.
When looking at a graph of a system of equations, what type of lines result in an answer of no solution?
What is parallel lines
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?
What is $30?
When looking at a graph, one can tell the solution to the system of equations is infinitely many solutions if the lines are what?
What is on top of each other (coincide)?
Fill in the blank:
Lines that ___________ have infinitely many solutions
What is coincide
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
You have been collecting quarters and dimes in a jar over time. You have a total of 120 coins. The jar is worth $27. How many quarters do you have?
What is 100?
Is (-3,0) a solution to the following system?
y>-2x+3
y<3
What is No?
Change the equation into slope-intercept form:
2x - y = 8
What is y=2x-8
The solution to the system
2a - 4b = 12
-8a + 16b = -48
What is infinitely many solutions?
3s - 2t = 4
t = 2s - 1
Teresa went Christmas shopping and bought 5 sweaters and 4 pairs of jeans for $60. Samuel went shopping as well and bought 4 sweaters and 2 pairs of jeans for $39. How much did it cost for a sweater and a pair of jeans?
What is $6 for sweater and $7.50 for jeans?
Is (-2,3) a solution to the system of inequalities?
y<-2x+3
y<3
What is No?
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
Two angles are complementary. One of the angles is 6 more than 2 times the size of the other. What is the measure of the larger angle?
What is 62?