Answer:
a = 1 and b = 7
Step-by-step explanation:
System of linear equations is
3a + 6b = 45 ----------------(1)
2a - 2b = -12 ----------------(2)
We have to find the solution to the system we will multiply equation (2) by 3 and add to equation (1).
3a + 6b + 3 (2a - 2b) =45 - 3 × 12
3a + 6b + 6a - 6b = 45 - 36
9a = 9
a = 1
Now we put a = 1 in equation (1)
3 × 1 + 6b = 45
6b = 45 - 3 = 42
b = [tex]\frac{42}{6}[/tex] = 7
So the solution of the system is a = 1 and b = 7
