Writing and solving systems of equations:
Write two equations for each problem, then solve.

The sum of 6 times Petra's age and 8 times Kathy's age is 162. Kathy is 1 year more than twice as old as Petra is. Find each of their ages.

Question

Writing and solving systems of equations:
Write two equations for each problem, then solve.

The sum of 6 times Petra's age and 8 times Kathy's age is 162. Kathy is 1 year more than twice as old as Petra is. Find each of their ages.

anonymous · Answer

6x(petra's)+8(kathy's)=163 ----->(1)
kathy's=1+2(petra's)           ----->(2)

anonymous · Answer

@chococatpiano

anonymous · Answer

Can you show the work for me?

skullpatrol · Answer

6p+8k=162
k=1+2p

6p+8(1+2p)=162
6p+8+16p=162
22p=154
p=7
k=1+2(7)=15

Petra is 7 years old
Kathy is 15 years old @chococatpiano