solve by elimination method 11x+5y=16 and 7x+13y=14
Answers
multiply equation (1) with 7 and (2)with 11 now subtract both equation we get answer. 7/18.
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Answer:
x= 23/18
y = 7/18
Step-by-step explanation:
Concept= Elimination Method
Given= Two Equations
To find= The Value of x and y.
Explanation=
We have been asked to solve by elimination method 11x+5y=16 and 7x+13y=14.
So to solve the equations by elimination method we solve the equation simultaneously.
Our main target is to omit a variable and then find the value of second variable , using which we can find the value of variable we had omitted.
Two equations are:
11x+5y=16 .....(1)
7x+13y=14 .....(2)
We decide to eliminate x from this equation so we multiply the equation (1) by 7 and (2) by 11, then we subtract the equation as (2) - (1).
77x + 143y = 154
77x + 35y = 112
- - -
0 108y = 42
=> 108y = 42
=> y= 42/108
=> y= 7/18
So we know the value of y which we will use in equation (1) to find the value of x=> 11x+5y=16
=> 11x + 5*7/18 = 16
=> 11x = 16- 35/18
=> 11x= (288-35)/18
=> 11x = 253/18
=> x = 253/(18*11)
=>x = 23/18
Therefore the value of x= 23/18 and y = 7/18.
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