Answer :
k= Keisha
k + 6= John
k + k + 6 = 4k
2k + 6 ( - 2k) = 4k ( - 2k)
6 = 2k
3 = k
(Keisha= 3 years old)
k + 6 = 9
(John = 9 years old)
3 + 3 + 6 = 4 (3)
12 = 12
So we made the pawn represent Keisha’s age. Then we knew that John is 6 years older than Keisha so we represented his age with a pawn plus 6. This went on 1 side of the equation because it said that together they equal 4 times Keisha’s age. So on the other side of the equation we put 4 pawns because we are using each pawn as Keisha’s age. Then we subtracted the pawns from each side to keep the equation balanced. So we had that 2 pawns equal 6, which means that each pawn equals 3 so Keisha is 3 years old. Since John is 6 years older than Keisha, he must be 9 years old. We checked our work and substituted 6 in for each pawn and found that 12 equals 12, so our equation is balanced.
Hope this helps :)
k + 6= John
k + k + 6 = 4k
2k + 6 ( - 2k) = 4k ( - 2k)
6 = 2k
3 = k
(Keisha= 3 years old)
k + 6 = 9
(John = 9 years old)
3 + 3 + 6 = 4 (3)
12 = 12
So we made the pawn represent Keisha’s age. Then we knew that John is 6 years older than Keisha so we represented his age with a pawn plus 6. This went on 1 side of the equation because it said that together they equal 4 times Keisha’s age. So on the other side of the equation we put 4 pawns because we are using each pawn as Keisha’s age. Then we subtracted the pawns from each side to keep the equation balanced. So we had that 2 pawns equal 6, which means that each pawn equals 3 so Keisha is 3 years old. Since John is 6 years older than Keisha, he must be 9 years old. We checked our work and substituted 6 in for each pawn and found that 12 equals 12, so our equation is balanced.
Hope this helps :)
let x= Keisha
x+6= John
together means to add
x+x+6= 4x combine like terms
2x+6=4x
subtract 2x from both sides
6= 2x
divide both sides by 2
3=x Keisha's age
3+6= 9 John"s age
Proof 3+9= 4x3
hope this helps
x+6= John
together means to add
x+x+6= 4x combine like terms
2x+6=4x
subtract 2x from both sides
6= 2x
divide both sides by 2
3=x Keisha's age
3+6= 9 John"s age
Proof 3+9= 4x3
hope this helps