62] Save the given pair of linear equations by using elimination
दिर सार समीकरणों को विलोपन विधि द्वारा हल करें।
(2x2=4)
(
x- y = 1 ( 21+3y = 8 and 4x+
(i) 3x+4y= 10 and X-y=1
Answers
Answered by
1
3x+4y=10—————— 1
x-y=1————————- 2
Multiplying eq 1 by 4 and eq 2 by 1
3x+4y=10—————- 3
4x-4y=4—————— 4
Adding 3 and 4
3x+4x=10+4
7x=14
x=2
Substituting x=2 on eq 2
2-y=1
-y=1-2
-y=-1
y=1
x-y=1————————- 2
Multiplying eq 1 by 4 and eq 2 by 1
3x+4y=10—————- 3
4x-4y=4—————— 4
Adding 3 and 4
3x+4x=10+4
7x=14
x=2
Substituting x=2 on eq 2
2-y=1
-y=1-2
-y=-1
y=1
Answered by
1
Step-by-step explanation:
1) 3x+4y=10 __eq 1
x-y=1 __eq 2
multiplying eq 2 by 3,
3(x-y=1),
therefore, 3x-3y=3 __eq3
subtracting eq1 and eq3,
3x+4y =10
- 3x-3y =3
_______
0 + 7y = 7
therefore, y=1
substituting y=1 in eq2,
x-y = 1
therefore, x -1=1
therefore, x=1+1 = 2
check:
3x+4y = 10
3(2)+4(1)=10
6+4=10
10=10.
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