$\"\"$

\

Elimination Method:

\

The system of equations are

\

$\"\"$ Equation (1)

\

$\"\"$ Equation (2)

\

Neither variable has a common coefficient.The coefficient of the b - variables are 5 and 10 and their least common multipe is 10, so multiply equation(1) by 2 that will make the b - coefficient 10.

\

$\"\"$

\

Subtract the equations to elimante b - variable.

\

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

\

$\"\"$ $\"\"$

\

Apply division property of equality: Divide each side by 2.

\

$\"\"$ ( $\"\"$ )

\

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

\

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

\

$\"\"$ (Equation 1)

\

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

\

Apply addition property of equality: Add 12 to each side.

\

$\"\"$

\

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

\

$\"\"$

\

\

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

\

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

\

$\"\"$ (Add: $\"\"$ ) $\"\"$

\

$\"\"$ (Divide each side by 5)

\

$\"\"$

\

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

\

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