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Harman [31]
3 years ago
11

How do i solve y=3bx−7x for x?

Mathematics
2 answers:
alexgriva [62]3 years ago
7 0

y = 3bx − 7x → x = y / ( 3b - 7 )

<h3>Further explanation</h3>

Let the linear equation : y = mx + c

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

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

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} } }

<h3>Learn more</h3>
  • Infinite Number of Solutions : brainly.com/question/5450548
  • System of Equations : brainly.com/question/1995493
  • System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

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

Aleks [24]3 years ago
5 0
              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)
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