4x +7y=29;x+3y=11.....solve it by elimination
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Answer:
↪↪x=2 and y=3.........
Step-by-step explanation:
✏QUESTION↪
4x+7y=29,x+3y=11 find the value of x and y...
✏TO FIND➡➡value of x and y.
(using formula =ELIMINATION METHOD)
________________________
✒✒SOLUTION::===>
°°GIVEN=>
4x+7y=29------------(1)
x+3y=11--------------(2)
✳✳Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient..
↪the coefficient of x in equation 2,multipled by 4.............
4(x+3y)=11×4
=>4x+12y=44-----------------(3)
- Both equations now have the same leading coefficient = 4
_______________________
✳✳step 2:subtract the first equation from third....
Now,
eqn(3)-eqn(1)----->
(4x+12y)-(4x+7y)=44-29
=>4x+12y-4x-7y=15
=>12y-7y=15
✳✳step 3:solve this new equation for y..
=>5y=15
✳✳ step 4: Substitute y = 3 into either Equation 1 or Equation 2 above and solve for x. We'll use Equation 2....
x+3y=11
==>x+3×3=11
==>x+9=11
==>x=11-9
==>x=2
ANSWER :- x=2 and y=3
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