Answer:
Step-by-step explanation:
1) x+27=1
-27 -27
x = -26
2) x-2y=5 (solving for x)
+2y +2y
x = 5 + 2y
2) x-2y=5 (solving for y)
-x -x
2y = 5 -x
2y/2 5/2 -x/2
y = 5 - x
_____
2 (5-x over 2)
Following are the calculation to the linear combination method:
Given:
[tex]\to \bold{x+2y=1}\\\\ \to \bold{x-2y=5}[/tex]
To find:
Solve the equation by linear combination method
Solution:
[tex]\to \bold{x+2y=1}........(a)\\\\ \to \bold{x-2y=5}........(b)[/tex]
Adding both the equation (a) and (b):
[tex]\to\bold{x+2y=1}\\\\ \to \bold{x-2y=5}\\\\+\ \ - \ \ \ \ +\\\\ \to \bold{2x=6}\\\\ \to\bold{x=\frac{6}{2}}\\\\ \to\bold{x=3}\\\\[/tex]
Putting the value of x into the equation (b):
[tex]\\ \to \bold{3-2y=5}\\\\\to \bold{-2y=5-3}\\\\\to \bold{-2y=2}\\\\\to \bold{y=- \frac{2}{2}}\\\\\to \bold{y=- 1}\\\\[/tex]
Therefore, the final answer is "(3,-1)"
Learn more:
brainly.com/question/8376573
