\

\

Elimination method :

\

The equations are $\"\"$ and $\"\"$ . \ \

\

$\"\"$

\

$\"\"$

\

Add equation (1) and equation (2).

\

$\"\"$

\

\

$\"\"$

\

$\"\"$

\

Divide on each side by 4.

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ in the above equation (1).

\

$\"\"$

\

Subtract 9 on each side.

\

$\"\"$

\

Divide on each side by 9.

\

$\"\"$

\

$\"\"$

\

\

\

\

\

\

\

\

The system of equations are $\"image\"$ .

\

To get two equations that contain opposite terms multiply the first equation by - 6.

\

Write the equations in column form and add the equations to eliminate x - variable.

\

$\"image\"$

\

The resultant equation is $\"image\"$ .

\

Substitute the value of y = 7 in either of the original equations and solve for x.

\

The second equation: $\"image\"$ .

\

$\"image\"$

\

$\"image\"$

\

$\"image\"$ .

\

The solution $\"image\"$ .

\

\

\