Solutions
When you graph a system and the lines are parallel, how many solutions are there?
What is No Solution?
y = x + 4
y = 2x + 5
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.
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?
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)?
y = -3
x = 5
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?