Question

Solve 3x-y=5 & x+2y=4 by elimination method​

Answer 1

Answer:

3x−y=5 ....(1)

And, 5x−2y=4 ....(2)

Multiplying Eq.1 with 2 we have: 6x−2y=10 ....(3)

Subtracting Eq. 2 from Eq. 3 we get:

x=6

And y=13

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Answer 2

Answer:

Here we will use elimination method to solve the given system of an equation.

We have,

3

x

+

y

=

5

..equation 1

x

−

2

y

=

4

..equation 2

Note: here we have unequal coefficient for both x and y. So we will first make coefficient of either x or y equal.

Here we well make coefficient of y equal by multiplying equation 1 by 2, we get

6

x

+

2

y

=

10

..equation 3

Now, we have coefficient of y equal with opposite sign, hence it can be eliminated on addition.

Adding equation 2 and 3, we get

x

−

2

y

=

4

6

x

+

2

y

=

10

−

−

−

−

−

7

x

=

14

Now divide both side by 7, we get

or,

x

=

14

7

=

2

Plug the value of x= 2 in equation 1, we get

3

X

2

+

y

=

5

or,

6

+

y

=

5

Subtract 6 on both side, we get

or,

y

=

5

−

6

or.

y

=

−

1

Therefore, the final answer is

x

=

2

and

y

=

−

1

To check the answer, plug

x

=

2

and

y

=

−

1

in above equation and check weather it satisfies or not.

Thanks