2. Dear Lord,
As we gather here for our math
class today, We seek your
guidance and blessings along the
way. Grant us clarity of mind and a
thirst for knowledge, Help us
understand the concepts and solve
problems with courage. Amen.
6. 1. Illustrate system of linear
equations in two variables;
2. solve system of linear equation
by elimination; and
3. reflect on the relevance of the elimination
method in solving system of equations.
7.
8. Another method of solving systems
of linear equations in two variables is
the elimination method. The objective
of this method is to eliminate one of the
variables in the equation to find the
value of the other variable. This can be
done by addition or subtraction.
Elimination Method
9. However, in some instances, addition
or subtraction cannot be directly performed
to eliminate either of the variables. Hence,
either one or both equations in the system
has to be multiplied first with a number in
order to obtain numerical coefficients of
one variable which are opposites or
additive inverses.
Elimination Method
10. Steps in solving system of linear equations by
elimination method
Step 1. Write the equations in the standard form
𝐴𝑥 + 𝐵𝑦 = 𝐶. If the given equations are
already in standard form, proceed to Step 2.
Step 2. Add or subtract the equations to eliminate
one variable, and then solve for the value of
the other variable.
11. Steps in solving system of linear equations by
elimination method
Step 3. Substitute the value of 𝑥 (or 𝑦) in either
of the equations and solve for the value
of 𝑦 (or 𝑥).
Step 4. Check. Using the ordered pair (𝑥, 𝑦 ),
substitute the value of 𝑥 and 𝑦 to
both equation 1 and equation 2.
