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