c. (1,7)
Step-by-step explanation:
-
Let's mark the equations first:
3a+6b=45 (i)
2a-2b=-12 (ii)
- Further on simplification we can write these equations as:
3a+6b=45 ⇒ a+2b= 15
and 2a-2b= - 12⇒ a-b= -6
- Mark the new equations as:
a+2b= 15 (iii)
a-b= -6 (iv)
- On Subtracting equation (iii) from (iv)
we will get,
3b=21
On solving, the value of b is
[tex]b=\frac{21}{3} =7[/tex]
b=7
- Now, putting the value of b in equation (iii) we will get.
a+2b= 15
a+2(7)=15
a+14=15
a=15-14
a=1
Hence, the required values of (a, b) for given linear equations will be (1,7).
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