Question

Solve 3x + 4y =10 and 2x - 2y =2 by elimination Method​

Answer 1

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Answered

by the method of elimination, solve 3x+4y =10 and 2x -2y =2

Asked by Pearlkaurvirk | 9th Mar, 2016, 05:18: PM

Expert 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

Step-by-step explanation:

multiply eqn 1 with 2 and eqn 2 with 3

(3x+4y =10)2 =6x+8y=20

(2x-2y=2)3. =6x-6y = 6

- + -

==========

14y = 14

y=14/14

y=1

substitute the values

3x+4y=10

3x+4*1=10

3x+4=10

3x=10-4

3x=6

x=6/3

x=2

Hope it helps you

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