How do solve the following linear system?: # 11x + 3y + 7 = 0 , -6x-2y=-8 #?
2 Answers
Explanation:
Multiplying the first equation by
so
plugging this in the second equation
Explanation:
Given
[1]
[2]
To make this easier to work with I will convert [1] into the same standard form as [2] by subtracting
[3]
We need to eliminate one of the variables (either
For example, we might decide to eliminate the term containing the variable
To do this we need to convert equations [2] and [3] into equivalent forms with identical magnitude coefficients for
The least common multiple for the (magnitude of)coefficients of
Multiplying [2] by
[4]
Multiplying [3] by
[5]
Now if we add [4] and [5], we can eliminate the
[6]
Dividing both sides of [6] by
[7]
We can now substitute
[8]
Simplifying
[9]
[10]
[11]
Giving the final solution
and
[Since we used [2] to develop the value for