SOLUTION: Solve using the substitution method a + 5b = 2 2a = -10b + 4

Algebra.Com
Question 231213: Solve using the substitution method
a + 5b = 2
2a = -10b + 4

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
a + 5b = 2 or a=2-5b
2a = -10b + 4 replace a with (2-5b) in this equation & solve for b.
2(2-5b)=-10b+4
4-10b=-10b+4
-10b+10b=4-4
0=0
These 2 equations are equal thus no unique solution with only one equation & 2 unknowns.
Proof:
Multiply the first equation by 2
2a+10b=4
2a=-10b+4 is the same as the second equation.
2a=-10b+4

RELATED QUESTIONS

How do you solve this by using the addition or subtraction method? 8a+5b=9... (answered by ankor@dixie-net.com)
Solve the system of equations using the elimination method. 2a + 3b = -1 3a + 5b... (answered by elima)
Solve the system of equations using the elimination method. 2a+3b=-1... (answered by jim_thompson5910)
Show all your work Solve the system of equations using the Addition method. 2a + (answered by mangopeeler07)
one of the factors of the expression (2a+5b)^3+(2a-5b)^3 would be? a)4a b)10b (answered by jsmallt9)
substitution a - 4b = 2 2a - 5b = 1 with steps... (answered by mananth)
I'm 46 years old and working on refreshing my skills. How do I solve this using the... (answered by pallavi)
6a - 5b = 9 2a + 5b = 23 slove this system of equations using the addition... (answered by Alan3354)
Show all your work to receive full credit for this problem. Solve the system of... (answered by checkley77)