Answer :
Answer:
b = 30
Step-by-step explanation:
1/4 (8b-80) +b = 70
2b - 20 + b = 70
3b = 90
b = 30
First of all, you’ve a fraction in your equation, accompanied by a value that needs to be added. This, you can not directly shift (+b) to the other side.
As you’ve got two values in brackets being multiplied by one quarters too, you multiply them to obtain:
[8b-80]
———— + b = 70
4
To add b into our fraction, we must make a common denominator, and so we multiply b over 1 with 4 on both the numerator & denominator, obtaining:
[8b-80+4b]
—————— = 70
4
From here, it is simple. You shift the 4 to the other side, multiplying it with 70 to get 280. Shift the negative 8 to the other side, making it positive while doing so, and add that to 280, obtaining 288. Now you only have 12b=288, so you divide both sides of the equation with 12, leaving you with 24.
As you’ve got two values in brackets being multiplied by one quarters too, you multiply them to obtain:
[8b-80]
———— + b = 70
4
To add b into our fraction, we must make a common denominator, and so we multiply b over 1 with 4 on both the numerator & denominator, obtaining:
[8b-80+4b]
—————— = 70
4
From here, it is simple. You shift the 4 to the other side, multiplying it with 70 to get 280. Shift the negative 8 to the other side, making it positive while doing so, and add that to 280, obtaining 288. Now you only have 12b=288, so you divide both sides of the equation with 12, leaving you with 24.