# Elimination Steps

Mind Map by Selam H, updated more than 1 year ago
 Created by Selam H almost 7 years ago
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1

### Description

Pre-Calculus Math (Algebra) Mind Map on Elimination Steps, created by Selam H on 04/29/2013.

## Resource summary

Elimination Steps

Annotations:

• * Answer = were two lines on a graph intercept.
1 1. Check if both equations have the same variables and numbers.

Annotations:

• 14x = 5y = 11                                               7x + 3y = 16 * In this equation, they don't.
2 2. If not, multiply or divide the two (or one) variable(s) so they cancel each other out.

Annotations:

• 14x + 5y = 11                                                                     7x + 3y = 16 * You could divide 14 by 2( 7 and 7), multiply 7 by 2 ( 14 and 14), or multiply 5 by 3 (15 and 15).
3 3. Subtract or add so that the variable and number equal zero.

Annotations:

• * You subtract when both numbers are negative or both are positive. ex: -3 - -3 = 0   ex: 4 - 4 = 0
• * You add when one number is negative, and the other is positive, or the other way around. ex: -5 + 5 = 0  ex: 9 + -9 = 0
4 4. Solve this new equation.

Annotations:

• 14x + 5y = 11 becomes 42x + 15y = 33 7x + 3y = 16 becomes 35x + 15y = 80
• 1. 42x - 35x = 7x 2. 15y - 15y = 0 3. 33- 80 = -47
• New equation = 7x = -47 Answer ~ x = -6.71
5 5. Plug answer into one of the equations. Then, solve.

Annotations:

• 35( -6.71) + 15y = 80  Answer ~ y = -9.06
6 6. Answer can be written like this: (x, y). Or this: x=_ y=_

Annotations:

• x = -6.71  y= -9.06

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