Question

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

Answer 1

Answer:

( 2 , - 3 )

Step-by-step explanation:

Using elimination method:

2x - y = 7

3x + y = 3

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

5x = 10

Divide both sides of the equation by 5

$\frac{5x}{5} = \frac{10}{5}$

Calculate

$x = 2$

Now, substitute the given value of X in the equation

3x + y = 3

$3 \times 2 + y = 3$

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 )

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

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

$2 \times 2 - ( - 3) = 7$

$3 \times 2 - 3 = 3$

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!!