coryp

Cory's Crazy Calculations!

Hi, my name is Cory P. I am in Mrs. Felz Algebra II class and this project is designed to help you learn more about linear equations. There will be examples of elimination, substitution and linear word problems.
EliminationMethod 5x-2y = 4 & 3x+y = 9 5x-2y = 4 (2)3x+y = 9 5x-2y = 4 6x+2y = 18 11x = 22 x = 2 5(2)-2y = 4 10-2y = 4 -10 -10 -2y = -6 -2/-2 -6/-2 y = 3 (2,3)	First of all you have to solve for one of the variables. To do this, multiply one of the equeations to eliminate one of your variables. After you have solved for one of the variables, substitute the value into the second equeation. Doing this you will have the values of both of the variables. These values are the coordinate where the lines intersect.

SuSubstitution Method
y = 5-4x & 3x-2y = 12
3x-2y = 12
3x-2(5-4x) = 12
3x-10+8x = 12
+10 +10
11x = 22
x = 2

y = 5-4x
y = 5-4(2)
y = 5-8
y = -3

(2,-3)

First of all you want to substitute one of the variables into the other equeation. By doing this you can solve for one of your variables. After this, substitute the new value into your other equeation and find the value of the remaining variable.

Linear Word Problems The sum of acertian number and a second number is-42. The first number minus the srcond is 52. Find the two numbers.

x + y = -42
x - y = 52
2x = 10
x = 5

5 + y = -42
y = -47

(5,-47)

The first thing that you want to do is read the problem carefully. Find two variables mentioned in the paragraph and set them equeal to the number mentioned. After this you want to combine the two problems together and get one problem. Then you want to solve for one of the variables. When you have found the value of one variables, substitute it into one of the original problems and solve for the second variable.

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