Solve: 2x+1=8x
1
3
−13
12
2x+1=8x 2x+1=(23)x
∵(am)n = am×n
⇒2x+1=(2)3x Since bases are equal powers should also be equal ⇒x+1=3x ⇒x=12
Solve the following systems of equations:
17x+16y=3
12x−13y=5
Question 53
Solve the following:
5(1−x)+3(1+x)1−2x=8
Solve the equation
6÷x+y=7÷x-y+3
1÷2(x+y)=1÷3(x-y)