yayasims21
need help solve this equation using the elimination method 6x – 4y = 54
–9x + 2y = –69
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ajprincess
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Multiply the second equation by 2 nd can u plz tell me vat u get?
yayasims21
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-18+4y=-138
ajprincess
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yup good:) nw add this one with the first equation. terms with variable y will be elimnated. then solve for x. can u do it @yayasims21
yayasims21
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i cannt can u do it
ajprincess
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plz give it a try. if u face any difficulty when doing it plz ask. I will help u:)
yayasims21
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ok so im suppose to add -18+4y=-138 to 6x-4y=54
ajprincess
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ya:)
yayasims21
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i cant do it my calculator wont let me
ajprincess
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-18x+4y+6x-4y=-138+54
(-18x+6x)+(4y-4y)=-138+54
See if u can do it nw:)
ajprincess
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Add the ones inside the parentheses
yayasims21
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i cant do it i really suck at math
ajprincess
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what is
-18x+6x?
yayasims21
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-12
ajprincess
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-12x.
what is
4y-4y?
yayasims21
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0
ajprincess
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yup right:)
what is -138+54
yayasims21
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-84
ajprincess
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yup good. nw combine these results.
yayasims21
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add them
ajprincess
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ya.
yayasims21
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i get -96
TheViper
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@ajprincess happy new year & to @yayasims21 too :)
yayasims21
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o thanks happy new year to u 2
TheViper
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:)
ajprincess
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no. remember u can add -12x with -84. nd -84 is in the right side of the equal aign.
-18x+6x+4y-4y=-138+54
-12x+0=-84
-12x=-84
Divide by -12 both sides to find x.
Thanx @TheViper and I wish u the same:)
TheViper
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:)
yayasims21
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-12 divided by -12 is 1 and -84 is 7
ajprincess
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remember u r dividing -12x by -12 nt -12. this leaves u with x and u r right abt getting 7:)
ajprincess
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So ur x becomes 7. To find y plug in this value in either 6x – 4y = 54 or
–9x + 2y = –69 and solve
yayasims21
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ok wat do u mean how am i suppose to do tht
ajprincess
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x=7.
Plug this in
6x-4y=54
6(7)-4y=54
42-4y=54
1.Subtract 42 both sides.
2.Divide by -4 both sides to find y.
yayasims21
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i cant do this im so confused
ajprincess
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42-4y=54
1.Subtract 42 both sides.
2.Divide by -4 both sides to find y.
ajprincess
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Plz follow the steps
yayasims21
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i am but so im suppose to subtract 42from -9
ajprincess
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no. let me do one step and show.
42-4y=54
Subtract 42 both sides
42-42-4y=54-42
0-4y=12
-4y=12
Nw divide by -4 both sides to find y
yayasims21
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-3x
ajprincess
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-4y=12
Divide by -4 both sides
(-4y)/-4=12/-4
y=-3
yayasims21
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ok i got it is there anymore we have to do
ajprincess
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nope. evrythng is done:)
yayasims21
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ok well can u show this all at once so i can write it down
yayasims21
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can you @ajprincess
ajprincess
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Extremely sorrry @yayasims21. busy right nw.
yayasims21
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o alright illtry to put it together
ajprincess
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hav u finished @yayasims21?
ajprincess
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\(6x-4y=54-(1)\)
\(-9x+2y=-69-(2)\)
(2)*2=>\(-18x+4y=-138-(3)\)
(3)+(1)=>\(-18x+4y+6x-4y=-138+54\)
\(-12x=-84\)
\(-12x/-12=-84/-12\)
\(x=7\)
Substituting this in (1)=>
\(6(7)-4y=54\)
\(42-4y=54\)
\(-4y=54-42\)
\(-4y=12\)
\(-4y/-4=12/-4\)
\(y=-3\)