Question

solve 149x-330y=-511 , -330x+149y=-32

Answer 1

Hello dear friend ...
Your answer is here ..
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$149 - 330y = - 511 \\ - 330x + 149x = - 32 \\ \\ = > {149}^{2} x - (330)(149)y = ( - 511)(149) \\ \\ = > - ( {330)}^{2} x + (330)(149)y = ( - 32)(330) \\ \\ = > ( {330}^{2} - {149}^{2} )x = (511)(149) + (32)(330) \\ \\ = > x = \frac{86699}{86699} = 1 \\ \\ = > y = \frac{298}{149} = 2 \\ \\ so \: \: the \: \: value \: of \: \\ x = 1 \: \: and \: y \: = 2$
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Answer 2

adding both the equation we get
-x-y=-3. 1
subtracting both the equation we get
x-y=1. 2
subtracting equation 1 and 2 we get
x=2
substituting value of x in equation 2 we get
y=1