Question

Solve x and y by any method
x+3y=6 and 2x+3y=12

Answer 1

Answer:

x+3y=6

x+y=6÷3

x+y=2

xy=2

Answer 2

x + 3y = 6 ---------1

2x + 3y = 12 -----------2

$\mathfrak\blue{By\:using\:elimination\:method\::-}$

in equation 1

multiply both sides by 2

x + 3y = 6

2x + 6y = 12 ------------3

equation ³ - equation ²

(2x + 6y) - ( 2x + 3y) = 12 - 12

2x + 6y - 2x - 3y = 0

3y = 0

y = 0/3

y = $\fcolorbox{red}{green}{0}$

substituting value of Y in equation 1

x + 3y = 6

X + 3(0) = 6

X + 0 = 6

X = $\fcolorbox{red}{pink}{6}$

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