3x +4y = 10 और 2x-2y = 2
Answers
Answer:
Solving 3x + 4y =10 and 2x - 2y =2 by elimination method:
Let 3x + 4y =10 ...(1) and
2x - 2y =2 ...(2)
Multiply Equation (2) by 2 to make the coefficients of y equal.
Then we get the equation: 4x – 4y = 4 ... (3)
Add Equation (1) and (2) to eliminate y, because the coefficients of y are the same.
So, we get
(3x + 4x) + (4y – 4y) = 10 + 4
7x = 14
x = 2
Substituting this value of x in (1), we get
3x + 4y =10
3(2) + 4y =10
4y = 4
y = 1
Step-by-step explanation:
3x+4y = 10 ---------- 1
2x-2y = 2 -----------2
Now,
3x = 10-4y
x = 10-4y/3 ----------3
Now, substituting the value of x in eq. 2
2(10-4y/3)-2y = 2
20-8y/3 - 2y = 2
Taking L.C.M
20-8y-6y/3=2
Multiplying 3 on both sides
20-14y = 6
Substracting 20 on both sides
-14y = (-14)
Now, dividing by (-14) on both sides
y = 1 -----------------4
Substituting the value of y in eq. 3
x = 10 - 4(1)/3
x = 10- 4 /3
x = 6/3
x = 2
Ans. x = 2 and y = 1