$\"\"$

\

Elimination Method:

\

The system of equations are

\

$\"\"$ Equation (1)

\

$\"\"$ Equation (2)

\

Neither variable has a common coefficient.The coefficient of the b - variables are 2 and 5 and their least common multipe is 10, so multiply each equation by the value that will make the b - coefficient 10.

\

$\"\"$

\

$\"\"$

\

Add the equations to elimante b - variable.

\

Write the equations in column form and add the corresponding columns.

\

$\"\"$

\

Apply division property of equality: Divide each side by 41.

\

$\"\"$

\

$\"\"$ (Cancel common terms). $\"\"$

\

Now, find the b value by substituting $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$ (Multiply: $\"\"$ )

\

Apply addition property of equality: Add 25 to each side.

\

$\"\"$

\

$\"\"$

\

Rearrange the terms using commutative property of addition: a + b = b + a.

\

$\"\"$

\

$\"\"$ (Apply additive inverse property: $\"\"$ )

\

$\"\"$ (Apply additive identity property: $\"\"$ )

\

$\"\"$ (Subtract: $\"\"$ )

\

$\"\"$ (Divide each side by negative 2)

\

$\"\"$ (Cancel common terms). $\"\"$

\

The system of solution is $\"\"$ .