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About Lynn Houston
Expertise
I can answer questions in basic algebra and any grade school math.

Experience
Love math, currently helping my nephew get through Intermediate Algebra.

Education/Credentials
I majored in Math Ed in college (but decided not to teach), so have over 40 credits of math.

 
   

You are here:  Experts > Science > Math for Kids > Basic Math > substitution and elimination

Basic Math - substitution and elimination


Expert: Lynn Houston - 10/24/2009

Question
i really need help with substitution and elimination!!pls help me:

1) X+5Y-26=0
  3X+2Y=0          
SOLVE 1ST EQUATION BY ELIMINATION.
2) 3X+2Y=0    
  2X-3Y+13=0
SOLVE THE 2ND EQUATION BY SUBSTITUTION PLS.

PLS HELP ME I AM SOOO CONFUSED. PLS HELP ME AS SOON AS U CAN  

Answer
SOLVE 1ST EQUATION BY ELIMINATION.

1) X+5Y-26=0
 3X+2Y=0          

Multiply the first eq  by -3

-3X-15Y+78=0
 3X+2Y=0     Now add the two equations
-13y + 78 = 0
-13y = -78 divide by -13
y = 6, therefore x = -4

SOLVE THE 2ND EQUATION BY SUBSTITUTION PLS.
2) 3X+2Y=0    
 2X-3Y+13=0
Solve one equation for x or y

3x = -2y
x = -2/3y  substitute the value of x into the second eq.

2(-2/3y) - 3y + 13 = 0
-4/3y - 3y + 13 = o
- 13/3y + 13 = 0
- 13/3y = -13  multiply both sides by -3
13y = 39
y = 3, therefore x = -2  

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