Substitution
3x -2y = 9
y= 2x-7
(5, 3)
-4x-2y=-12
4x+8y=-24
(6,-6)
Oasas went to the store, If he purchased 2 packs of gum and 3 cartons of milk for a total of $17.00, How much do they both cost, keep in mind a carton of milk costs a pack of gum times 5.
What is the elimination method?
In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
the solution to: 2x+ 3y=6
x + y = 2 is x=1 and y=3
False
y= x-4
2x + y = 5
(3,-1)
1x-y=11
2x+y=19
(10,-1)
Chris was running laps with Jackson, Chris ran 3 laps on one track and 4 laps on a bigger one for a total of 41 miles. Jackson lapped the first track twice and the second 5 times for a total of 46 miles, How long is each track.
What is the Substitution method?
The Substitution method involves substituting the value of one of the variables(usually given) into the equation to get the value of the other variable.
the solution to
4x+8y=20
-4x+2y=-30
is (7,-1)
True
x + 4y=6
y= -x +3
(2,1)
-6x+6y=6
-6x+3y=-12
(5,6)
STEALABLE: Jackie purchased 3 bars of chocolate and 5 kitkat packages for a total of $59.00. Daniel bought 4 bars of chocolate and 3 kit kat packages for a total of $42.00, How much do they each cost.
What is a system of equations?
A system of equations is two equations usually one over the other involving two variables in both equations, The purpose is two solve for both the variables.
If there is a y= under one equation, It is easier to use elimination
False, if there is a y=, Substitution is most likely best
x+2y=6
x-y=3
(4,1)
5x+y=9
10x-7y=-18
(1,4)
If Ceaser wants to buy 5 toy Lamborghinis and 3 NFL teams and succeeds for a total of $41.00, He wants to know the details of his purchase. If the cost of 1 Lamborghini is one NFL team minus 3, how much is one Lamborghini and one NFL team?
(4,7)
What is a Solution to a system?
A solution to a system is written as it is on a graph with the x solution first in the brackets then a comma, than the y solution, You find the solution by solving a system
You cannot use word problems for substitution
False, You absolutley can
x-4y=4
x=4+4y
-4x+9y=9
x-3y=-6
(9,5)
Billy bought 3 apples and 4 oranges for a total of $39.00. If 1 orange costs the same as an apple plus 1, How much do they both cost?
(5,6)
How do you graph a system easiest?
You graph a system easiet by changing the equation if it is not already in, Into slope-intercept form.
Elimination is substituting what y or x equals into the equation at the beginning
False, This is Substitution