Question

Solve the simultaneous equations

4x + 5y = 0
8x - 15y = 5


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Answer 1

Solution

Given :-

• 4x + 5y = 0 ----------(1)
• 8x - 15y = 5 ----------(2)

Find :-

• Value of x & y

Explanation

Substitution Method

By, Equ(1)

==> 4x = -5y

==>x = -5y/4 ------------(3)

Keep Value in equ(2)

==> 8 * [-5y/4] - 15y = 5

==> 2 * -5y - 15y = 5

==> -10y - 15y = 5

==> -25y = 5

==>y = 5/(-25)

==>y = -1/5

Keep Value of y in equ(3)

==> x = [-5 * (-1/5)]/4

==>x = 1/4

Hence

• Value of x = 1/4
• Value of y = -1/5

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Answer Verification

Keep Value of x & y in equ(1)

==> 4 * 1/4 + 5 * (-1/5) = 0

==> 1 - 1 = 0

==> 0 = 0

L.H.S. = R.H.S.

That's Proved

__________________

Answer 2

GIVEN that:

• 4x+15 = 0

• 8x-5y = 5

To Find:

• value of x and y.

Solution:

ATQ, we have

4x + 5y = 0...(1)

8x - 15y = 5..(2)

Multiplying eq(1) with 2 and subtracting from eq(1), we get

8x-15y = 5

8x+10y = 0

-----------------

- - -

----------------

-25y = 5

y = -5/25

y = -1/5

Now, putting y in eq(1), we get

4x + 5*(-1/5) = 0

4x = 1

x = 1/4

So, x = 1/4 and y = -1/5.

Additional Information:

The above used method was elimination method to solve two linear equation in two variables.

Two other methods to solve pair of linear equations are....

• Substitution method
• Cross-multiplication method.

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Hope this helps