3 years ago

What equation can be used to determine x in the system of linear equations below ?

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Either
y=mx+b
or
y=-1/m*x+k

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What choice is a solution to the system of equations? y=2x-3 y-9=-x

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Answer:

$(4,5)\ or\ x=4,y=5$

Step-by-step explanation:

$We\ are\ given:\\y=2x-3\\y-9=-x\\Now,\ lets\ separate\ all\ the\ constant\ terms\ to\ the\ RHS\ and\ the\ variable\\ terms\ to\ the\ LHS.\\Hence,\\y-2x=-3\\y+x=9\\By\ subtracting\ the\ two\ equations:\\(y-2x)-(y+x)=(-3)-(9)\\Hence\ lets\ simplify\ this\ main\ equation: \\y-2x-(y+x)=-3-9\\y-2x-y-x=-12\\-3x=-12\\x=\frac{-12}{-3}=4\\\\Now,\ lets\ consider\ the\ second\ equation\ in\ the\ solution:\\y-9=-x\\Substituting\ x=4,\\y-9=-(4)\\y-9=-4\\y=-4+9\\y=5\\$