how solve x+3y=12 & 3x+y=12
Answers
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GIVEN:
x + 3y = 12 ____(1)
3x + y = 12 ____(2)
Multiply the equation (1) with 3 ,
(1) × 3 = > 3x + 9y = 36
Subtract equation (1) &(2) ,
(1) = > 3x + 9y = 36
(2) => 3x + y = 12
(-) (-) (-)
______________________
8y = 24
y = 24 /8
y = 3
Substitute the value of y in equation (2)
(2) => 3x + (3) = 12
3x = 12 - 3
3x = 9
x = 9/3
x = 3
☆》Answer : x = 3 , y = 3《☆
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Step-by-step explanation:
let...x+3y=12... equation 1
and 3x+y=12... equation 2
x=12-3y(in equation...1)
put value of x in equation...2
3(12-3y)+y=12
36-9y+y=12
36-8y=12
-8y=12-36
-8y=-24
y=3
now,put value of y in equation...1
x+3×3=12
x+9=12
x=12-9
x=3
so...x=y=3ans.