arbyj
  • arbyj
PLEASE i need help solving these systems by using substitution. (HELPER WILL GET A METAL) -8x-9y=26 -3x-y=24
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathmale
  • mathmale
Try this : first, copy down the first equation. Next, multiply the second equation by 9 and write it immediately below the first. Does this result give you an idea of what to do next to solve this system of linear equations by elimination?
agreene
  • agreene
substitution means that you put one variable into the other equation. That is: solve one for x or y, and then plug x or y into the other.
mathmale
  • mathmale
If you are to use substituion, then decide which equation is easier to solve for either x or y, and then solve it for x or y. substitute the result into the other equation.

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More answers

arbyj
  • arbyj
yeah, i rearranged the second equation
arbyj
  • arbyj
do i plug it into y?
arbyj
  • arbyj
of the first equation?
anonymous
  • anonymous
\[-8x-9y=26-First~eqn\]\[-3x-y=24-Second~eqn\]\[y=-3x-24-Third~equation\]Use the third equation to substitute into the first equation
anonymous
  • anonymous
\[-8x-9(-3x-24)=26\]
anonymous
  • anonymous
\[-8x+27x+216=26\]
anonymous
  • anonymous
Then subtract both sides by 216
anonymous
  • anonymous
\[-8x+27x=26-216\]
anonymous
  • anonymous
\[19x=-190\]Then divide both sides by 19
arbyj
  • arbyj
wait i thought the 3 became negative?
anonymous
  • anonymous
\[\frac{ 19x }{ 19 }=-\frac{ 190 }{ 19 }\]\[x=-\frac{ 190 }{ 19 }\]
arbyj
  • arbyj
scuse me positive
mathmale
  • mathmale
If you "rearranged the second equation," then y our -3x-y=24 became -3x+3x-y=24+3x, or -y=24+3x. Next, solve this last result for y. I always want to see the actual results you've gotten. Substitute y=-24-3x into the first equation, if y ou haven't already done so. (MARC has done this.) Find x. Then, again using substitution, find y. Finally, check your solutiion (x,y) in both equations to determine whether it satisfies both.
anonymous
  • anonymous
\[x=-10\]Then substitute x=-10 into the second eqn to solve for y
anonymous
  • anonymous
\[-3(-10)-y=24\]
anonymous
  • anonymous
\[30-y=24\]Then subtract 30 on both sides
anonymous
  • anonymous
\[30-30-y=24-30\]\[-y=-6\]Lastly,divide both sides by -1
anonymous
  • anonymous
\[\frac{ -1 }{ -1 }y=\frac{ -6 }{ -1 }\]
anonymous
  • anonymous
\[y=?\]solve it @arbyj
arbyj
  • arbyj
i got 6
Arihangdu
  • Arihangdu
Very good your right,
arbyj
  • arbyj
thank you all for your help :) goodnight
mathmale
  • mathmale
Please be certain to label each coordinate. Do you mean x=6, or do you mean y=6? Once you have a possible solution, please check it by substitution into the original equations. if both equations come out TRUE, then you have a solution. If not, .... :(
arbyj
  • arbyj
y=6
mathmale
  • mathmale
You don't have a solution until you've found both x and y and have checked your x and y into both of the original equations.
arbyj
  • arbyj
-10,6

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