Answer:
[tex]x = \frac{39}{2}[/tex]
[tex]y = -\frac{29}{2}[/tex]
Step-by-step explanation:
Given
[tex]x + y= 5[/tex] --- (1)
[tex]7x + 9y = 6[/tex] ---- (2)
Required
Find x and y
Make x the subject in (1)
[tex]x + y= 5[/tex]
[tex]x = 5 - y[/tex]
Substitute 5- y for x in (2)
[tex]7x + 9y = 6[/tex]
[tex]7(5 - y) + 9y = 6[/tex]
Open bracket
[tex]35 -7 y + 9y = 6[/tex]
Collect like terms
[tex]-7y + 9y = 6 - 35[/tex]
[tex]2y = -29[/tex]
Divide both sides by 2
[tex]y = -\frac{29}{2}[/tex]
Substitute this for y in [tex]x = 5 - y[/tex]
[tex]x = 5 - (-\frac{29}{2})[/tex]
[tex]x = 5 +\frac{29}{2}[/tex]
L.C.M
[tex]x =\frac{10+29}{2}[/tex]
[tex]x = \frac{39}{2}[/tex]
