Question

For the equation 3x+4y=10 and 2x-2y=2, find x and y using elimination method ​

Answer 1

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

Answer 2

Given 2 equations,
3x + 4y = 10……. (1)
2x - 2y = 2……. (2)

Multiplying (2) with 2,

3x + 4y = 10
4x - 4y = 4

Adding both of them,

7x = 14
Then, x = 2

Now, substituting the value of x in (1)….

3(2) + 4y = 10
6 + 4y = 10
4y = 4
Then, y = 1


Hence, the values of x and y are 2 and 1, respectively.

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