![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image002.gif\")
Equation (1)The equations are
\ Equation (1)
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image004.gif\")
Equation (2)
Since the coefficients of the b-terms are additive inverses, you can eliminate these terms by adding the equations. Add the equations to eliminate variable b.
\Write the equations in column form and add the corresponding columns.
\![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image006.gif\")
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image008.gif\")
(Divide each side by 3)
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image010.gif\")
(Divide: ![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image012.gif\")
)
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image013.gif\")
Now Substitute –![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image015.gif\")
for a in either equation to find the value of b.
(Equation 1)
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image017.gif\")
(Replace a by –1)
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image019.gif\")
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image021.gif\")
(Add 2 on each side)
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image023.gif\")
(Add: ![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image025.gif\")
)
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image027.gif\")
(Divide each side by -3)
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image029.gif\")
(Divide: ![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image031.gif\")
)
The solution is ![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image033.gif\")
![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image034.gif\")
The solution is ![\"\"](\"file:///C:\\Users\\sambana\\AppData\\Local\\Temp\\msohtml1\\01\\clip_image036.gif\")