The equation that can be used to find the first integer is B) 3x + 6 = 36
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 :
[tex]\large {m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
[tex]\boxed {y - y_1 = m ( x - x_1 )}[/tex]
Let us tackle the problem.
Given:
The First Integer = x
The Second Integer = x + 2
The Third Integer = x + 4
The sum of three consecutive even integers is 36.
[tex]\texttt{The First Integer + The Second Integer + The Third Integer = 36}[/tex]
[tex]x + (x + 2) + (x + 4) = 36[/tex]
[tex]x + x + x + 2 + 4 = 36[/tex]
[tex]\large {\boxed {3x + 6 = 36} }[/tex]
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
