Which of the following gives a valid reason for using the given solution method to solve the system of equations shown? Equation I: 4x − 5y = 4 Equation II: 2x + 3y = 2

The solution of above equation is (1,1).

Given Equations  ......equation 1

......equation 2

On first instant we have in mind it is easy to eliminate from the equation for this we have to multiply equation 2 by 2 we get, ......equation 3

Now on subtracting equation 3 from 1 we get,

Or,

Putting the value of y =0 in equation 3, we get

Or,

Hence the solution of above equation is (1,1).

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Eliminition method

Step-by-step explanation:

We have, two equations as follows :

4x − 5y = 4 ...(1)

2x + 3y = 2 ...(2)

Eliminition method is the good method to find the solution of above equations. It is very easy eliminate x. We can do it as follows :

Multiply equation (2) by 2 :

4x + 6y = 4 ...(3)

Now subtracting equation (3) from (1)

4x − 5y - (4x + 6y) = 4-4

-5y-6y = 0

y = 0

Now put y = 0 in equation (1)

4x − 5(0) = 4

x = 1

So, we get the value of x = 1 and y = 0 by using elimination method. It is one of the convenient method to solve.

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step-by-step explanation: