Just the Algebra
5X-20=5
X=5
Find the coordinate
y = 3x - 22
y = 2x - 15
x= -7
y= -1
5x + 4y = – 7
-5x – 2y = 1
x = 1
y = -3
"Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. For what number of shirts would the cost be the same?"
Write the equations and what strategy you would use to solve them!
9.65x+43
8.40x+58
Substitution
Will the following set of equations have a solution? Why or why not?
y= 3x + 14
21x+ 7y = 30
You find that the slope are the same, therefore the lines are parallel and will never cross.
4 ( 3x + 10) = 52
x=1
7x + 7y = 28
y = 5x + 28
x=4
y= 8
2x + y = 7
3x - 4y = 5
x=2
y=3
"A discount airline sells a certain number of tickets, x, for a flight for $90 each. It sells the number of remaining tickets, y for $250 each. For a particular flight, the airline sold 120 tickets and collected a total of $27,600 from the sale of those tickets. What is the system of equations that represents this scenario?"
Write the equations and set up the first step to solve them
X + Y = 120
90X+ 250Y = 27,600
90X + 250 ( 120-x)= 27600
Write the steps to solve a problem using the elimination method
Varies
4x + 6(2x + 4)= -8
x=2
x - 5y = -11
-3x + 10y = 13
x= 9
y=4
8x + 3y = 13
3x + 2y = 11
x= -1
y= 7
Beth bought 15 tickets to a movie, where adult tickets cost $6.00 and senior citizen tickets cost $4.00. She spent a total of $76. Which system of equations will determine the number of adult tickets, a, and the number of senior citizen tickets, s, Beth purchased?
a + s + 15
A=8
s=7
When using substitution to solve this system of equations, what is the result of the first step?
x = 6y + 3
x + 2y = 5
(6y + 3) + 2y = 5