Set of two or more equations with the same variables.
system of equations
Find the solution to the system of linear equations.
(2,4)
Solve the system of equations x+y=7 and y=2x+1.
(2,5)
How many amendments to the US constitution are there?
27
The point where two graphs intersect.
solution
Graph the lines to find the solution to the system.
y=2/3x-7
and
y=3x
(-3,-9)
Find the solution to the system of equations
y=-2x-8
and
y=x+1
(-3,-2)
Explain (in words) what the solution (3, 8) means in the context of the situation:
Yellow Cab charges $1.50 per mile plus a $3.50 flat fee.
Blue Cab charges $1.00 per mile plus a $5.00 flat fee.
If you travel 3 miles in either the blue or the yellow cab, the price will be the same...$8.
What is the largest organ of the human body?
skin
Two lines with the same slope and different y-intercepts are _____________ .
Graph the lines to find the solution to the system.
y=1/2x-5
and
y=1/2x+3
No solution.
The lines are parallel...have the same slope, but different y-intercepts.
Find the solution to the system.
5x+3y=-19
and
8x+3y=-25
(-2,-3)
Write a system of equations for the situation.
There are 2 delivery companies. Dewa’s Delivery charges 10 cents per km and charges a flat fee of 15 dollars. Valeria’s Vehicles charges 20 cents per km and charges a flat fee of 8 dollars.
For what number of kilometers would both companies charge the same amount?
(70, 22) For 70 km, they both cost $22.00.
y=0.1x+15
and
y=0.2x+8
How many people have walked on the moon?
12 people
Which systems solution technique is shown?
substitution
Find the solution to this system.
(10,-22)
Find the solution to the system.
y-2x=-3
and
y=5-2/3x
(3,3)
Write a system of equations for this situation.
Muji wants to invest in the stock of two companies, a solar panel company and a wind power company. After some searching, Muji finds out that solar stock cost $25 per share and wind stock costs $15 per share.
Muji wants the same amount of each kind of stock and intends to invest $3000. How much money should Muji invest in each company?
(75, 75) Muji should buy 75 shares of both companies.
25t+15d=3000
and
t=d
List the 5 colors of the Power Rangers.
yellow, black, pink, red, blue