How do you solve this system of equations: #-3x + 4y = - 14;4x - 10y = 14#?

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Answer 1 · 2017-07-20T22:50:24

#x,yin{6,1}#

If you are familiar with matrices, then we can use them to solve these equations.

#((-3,4),(4,-10)) ((x),(y)) = ((-14),(14))#

Let #A = ((-3,4),(4,-10))#

Then #A((x),(y)) = ((-14),(14))#

#((x),(y))=A^-1((-14),(14))#

#det(A)=30-16=14rArrA^-1=1/14((-10,-4),(-4,-3))#

#((x),(y))=1/14((-10,-4),(-4,-3))((-14),(14))=1/14((86),(14))=((6),(1))#

#therefore x=6, y =1#