How do you solve 3x + y = -26 and 2x - y = -19?
1 Answer
Explanation:
Using the method of simultaneous equations, you take the first equation and write
#y=-3x-26#
Then you substitute this into the second equation, ie. wherever you see a
#2x-(-3x-26)=-19#
This then leaves an equation with only one unknown,
#5x+26=-19 #
Therefore
Then substitute back to get the value or
#-3 * (-9) -26 = 1#
An alternative method would be to use linear matrix algebra, in which a separate 3 methods exist :
- Gauss-Jordan elimination
- Inverse matrix method
- Kramer's Rule
Please let me know if you require me to resolve the problem using any of these 3 methods and I will do so for you, otherwise the simultaneous equation method shown above should suffice or a