Question

How do i solve y=3bx−7x for x?

Answer 1

y = 3bx − 7x → x = y / ( 3b - 7 )

Further explanation

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 :

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

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

$\large {\boxed{y - y_1 = m ( x - x_1 )} }$

Let us tackle the problem!

$y = 3bx - 7x$ → Given

$y = x ( 3b - 7 )$ → Factorize

$x ( 3b - 7 ) = y$ → Switch Side

$x = y \div ( 3b - 7 )$ → Divide

$\large {\boxed {x = \frac{y}{3b - 7} } }$

Learn more

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

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Equation , Line , Variable , Line , Gradient , Point

Answer 2

              y = 3bx - 7x       Factor out the x on the right side of the equation
              y = x (3b - 7)      Divide both sides (3b - 7)
y / (3b - 7) = x                  Switch the sides to make it easier to read
              x = y / (3b - 7)