x+y=3,4x-3y=26 solve by elemination method with
full calculation
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answer,
Hope it helps.
For verification,
x + y = 3
17 +(-14) =3
3 = 3
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Given :
→ Two equations :-
- x + y = 3
- 4x - 3y = 26
To find :
→ The value of x and y by using elimination method
Solution :
→ x + y = 3 ---------(1)
→ 4x - 3y = 26 -------(2)
Multiplying equation (1) by 3 and equation (2) by 2.
Equation (1) :-
→ x + y = 3
→ (x + y = 3) × 3
→ 3x + 3y = 9 -------(3)
Equation (2) :-
→ (4x - 3y = 26) × 1
→ 4x - 3y = 26 ----(4)
Solving (3) and (4) :-
→ 3x + 3y = 9
→ 4x - 3y = 26
___________
→ 7x = 35
___________
→ 7x = 35
→ x = 35 ÷ 7
→ x = 5
The value of x = 5
Substitute the value of x in equation (1) :-
→ x + y = 3
→ 5 + y = 3
→ y = 3 - 5
→ y = - 2
The value of y = - 2
Therefore, the value of x = 5 and y = - 2
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