Question

Solve the system of equations by the addition method
5x-3y=5
-2x+4y=-2

Answer 1

For given system of equations the values of x and y is x=1 and y=0

Explanation:

Given system of equations are

`5x-3y=5\hfill (1)`

`-2x+4y=-2\hfill (2)`

Now to solve the given system of equations by using addition method

Multiply the equation(1) into 2 we get

`10x-6y=10\hfill (3)`

Multiply the equation(2) into 5 we get

`-10x+20y=-10\hfill (4)`

Now adding the equations (3) and (4)

`10x-6y=10`

`-10x+20y=-10`

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`14y=0`

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`y=(0)/(14)`

`y=0`

Therefore y=0

Substitute y=0 in equation (1) we get

`5x-3y=5`

`5x-3(0)=5`

`5x-0=5`

`5x=5`

`x=(5)/(5)`

`x=1`

Therefore x=1

For given system of equations the values of x and y is x=1 and y=0