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Does anyone know the answer? Pls help

Does anyone know the answer? Pls help-example-1
User Carpenter
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2 Answers

11 votes

Answer:

x = 24

Explanation:

First, substitute x = -6y into the top equation:

-6y + 3y = 12

-3y = 12

Divide both sides by -3, and you get:

y = -4

Now, you plug in the y value to the second equation:

x = -6(-4)

x =24

User Reynosh
by
7.9k points
4 votes

Given :


{ \longrightarrow\qquad \sf x + 3y = 12 \: –––– \sf \: (i)}


{ \longrightarrow\qquad \sf x = - 6y \: –––– \sf \: (ii)}

(i) – (ii) we get :


{ \longrightarrow \qquad \sf \: {x + 3y -x = 12 - ( - 6y)}}


{ \longrightarrow \qquad \sf \: { \cancel{x} + 3y \: \cancel{ - \: x }= 12 + 6y}}


{ \longrightarrow \qquad \sf \: { 3y - 6y = 12 }}


{ \longrightarrow \qquad \sf \: { - \: 3y = 12 }}


{ \longrightarrow \qquad \sf {- \: y = (12)/(3) }}


{ \longrightarrow \qquad \bf \: { y = - \: 4 }}

Now, Substituing the value of y in equation (i) :


\longrightarrow \qquad \sf{x + 3( - 4)= 12}


\longrightarrow \qquad \sf{x - 12= 12}


\longrightarrow \qquad \sf{x = 12 + 12}


\longrightarrow \qquad \bf{x = 24}

Therefore,

  • The value of x is 24 .
User Arsenio
by
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