Question

Solve the formula for the indicated variable. A=1/2bh, for h

Answer 1

We want to have the variable h on one side of the equation and everything else on another side. A good place to start is to divide both sides by 1/2. That way we get rid of that nasty fraction.

A / 1/2 = 1/2bh / 1/2
Now on the left the 1/2 cancels out.

A / 1/2 = bh
And when a number is divided a fraction it's the same multiplying it inverted.

Now it is A(2/1) = bh

Now for the final step, divide both sides by b.

A(2) / b = bh/b
On the left b cancels out and we are left with the final product.

A(2) / b = h or h = A(2) / b

Answer 2

The formula for the indicated variable is h = 2A ÷ b

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {m = \frac{y_2 - y_1}{x_2 - x_1}$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$y - y_1 = m ( x - x_1 )$

Let us tackle the problem.

GIven :

$A = \frac{1}{2} ~ b ~ h$

$A \times 2 = \frac{1}{2} ~ b ~ h \times 2$ → multiply 2 for both sides

$A \times 2 = b ~ h$

$b ~ h = A \times 2$ → switch sides to make reading easier

$b ~ h \div b = A \times 2 \div b$ → divide by b

$h = A \times 2 \div b$

$\large {\boxed {h = \frac{2A}{b}} }$

Learn more

• Infinite Number of Solutions : https://brainly.com/question/5450548
• System of Equations : https://brainly.com/question/1995493
• System of Linear equations : https://brainly.com/question/3291576

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point