Answer:
solutions are a=4 b=5
Step-by-step explanation:
10a– 2b=30
3a- 2b=2
Multiply 10a 2b = 30 by 3: 30a – 6b – 90
Multiply 3a – 2b =2 by 10: 30a - 20b = 20
[30a – 6b = 90]
[30a – 20b = 20]
Subtract the equations
30a – 20b = 20
-
30a- 6b= 90
______________
-14b = -70
[30a -6b = 90]
[-14b = -70]
Solve - 14b = -70 for b: b=5
For 30a - 6b = 90 plug in b=5
Solve 30a –6· 5 = 90 for a: a= 4
The solutions to the system of equations are:
a=4 b=5
