Answer:
[tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex]
[tex]b = \frac{ - 5}{6} a + 3[/tex]
Step-by-step explanation:
Let's solve for a .
[tex]5a+6b=18[/tex]
Step 1: Add -6b to both sides.
[tex]5a+6b+−6b=18+−6b[/tex]
[tex]5a=−6b+18[/tex]
Step 2: Divide both sides by 5.
[tex] \frac{5a}{5} = \frac{ - 6b + 18}{5} [/tex]
[tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex]
Let's solve for b.
[tex]5a+6b=18[/tex]
Step 1: Add -5a to both sides.
[tex]5a+6b+−5a=18+−5a[/tex]
[tex]6b=−5a+18[/tex]
Step 2: Divide both sides by 6.
[tex] \frac{6b}{6} = \frac{ - 5a + 18}{6} [/tex]
[tex]b = \frac{ - 5}{6} a + 3[/tex]
Hope it is helpful....
