9x-10y=-12 2x+3y=13 by substitution method
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The value of x is 2 and y is 3.
Given,
Two linear equations in two variables 9x-10y=-12 and 2x+3y=13.
To Find,
The value of x and y using the substitution method.
Solution,
The given linear equations are
2x+3y=13
x = (13-3y)/2
Now, substituting the value of x in 9x-10y=-12.
9(13-3y)/2-10y = -12
117-27y-20y = -24
-47y = -24-117
47y = 141
y = 3
Now, substituting the value of y in x = (13-3y)/2
x = (13-3(3))/2
x = (13-9)/2 = 4/2 = 2
Hence, the value of x is 2 and y is 3.
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