Question

Solve the simultaneous equations 2x-y=7 3x+y=3

Answer 1

( 2 , - 3 )

Explanation:

Using elimination method:

2x - y = 7

3x + y = 3

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5x = 10

Divide both sides of the equation by 5

`(5x)/(5) = (10)/(5)`

Calculate

`x = 2`

Now, substitute the given value of X in the equation

3x + y = 3

`3 * 2 + y = 3`

Multiply the numbers

`6 + y = 3`

Move constant to R.H.S and change it's sign

`y = 3 - 6`

Calculate

`y = - 3`

The possible solution of this system is the ordered pair ( x , y )

( x , y ) = ( 2 , -3 )

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Check if the given ordered pair is the solution of the system of equation

`2 * 2 - ( - 3) = 7`

`3 * 2 - 3 = 3`

Simplify the equalities

`7 = 7`

`3 = 3`

Since all of the equalities are true, the ordered pair is the solution of the system

( x , y ) = ( 2 , - 3 )

Hope this helps..

Best regards!!