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jgarcia5 jgarcia5
  • 29-01-2017
  • Mathematics
Answered

Solve one of the equations for "x" or "y" and then solve the system by substitution

Solve one of the equations for x or y and then solve the system by substitution class=

Verified Answer :

baseballboyg
baseballboyg baseballboyg
  • 29-01-2017

Do what it says; solve one of them for y.  I'll do the first one:

\(y=6-2x\)

Now that we know what y is, we can substitute that into the other equation:

\(2x+5(6-2x)=22\)

Now distribute:

\(2x+30-10x=22\)

And simplify:

\(-8x+30=22\)

\(x=1\)

Now that we know what x is, just put that value into either equation to find y, I'll do the first one since we already solved for y:

\(y=6-2(1)\)

And simplify:

\(y=4\)

Now just put the values into a coordinate pair:

\((1,4)\)

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