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Science-Related Homework Help Mathematics Topic started by: smilemslisa on Aug 20, 2012



Title: How to solve this linear equation by elimination?
Post by: smilemslisa on Aug 20, 2012
10x-9y=18
6y+2x=1


Title: How to solve this linear equation by elimination?
Post by: asiananime8 on Aug 20, 2012
10x -9y = 18
5(2x+6y) = 5(1)

10x-9y=18
10x+30y=5

(10x-9y)-(10x+30y) = 18-5
-9y-30y = 13
- 39 y = 13
y = -3

Sub y = -3 into 6y +2x = 1
6(-3) + 2x = 1
-18 +2x = 1
-18-1 = -2x
x = 19/2
x = 9.5

I hope i didnt make a mistake..


Title: How to solve this linear equation by elimination?
Post by: rizkallah15 on Aug 20, 2012
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Title: How to solve this linear equation by elimination?
Post by: riyadamin on Aug 20, 2012
First write them so x's are first in each

10x -9y = 18
2x  +6y = 1

multiply 2nd by 5 to make number of x's same

10x-9y=18
10x+30y = 5

subtract

-39y = 13
y = 13/-39 = -1/3

put value in 2nd
2x + 6(-1/3)=1
2x -2 =1
2x = 3, x=3/2

check using values in 1st equation
correct


Title: How to solve this linear equation by elimination?
Post by: asia on Aug 20, 2012
10x-9y=18
-5(6y+2x)=1
so:
10x-9y=18
-10x-30y=-5
by addition of two equation:
-39y=13
so: y = - 1/3
thus substitute value of y:
10x-9(-1/3)=18
thus: x = 3/2