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PtichkaEL [24]
3 years ago
8

The sum of three consecutive even integers is 36. Let x represent the first integer, x + 2 represent the second integer, and x +

4 represent the third integer.
Which equation can be used to find the first integer?

A)3x = 2x + 6

B)3x + 6 = 36

C)3x + 36 = 2x + 6

D)2x + 6 = 36

Mathematics
2 answers:
prisoha [69]3 years ago
5 0

Let

x------>  the first even integer

x+2---->the second even integer

x+3---->the third even integer

we know that

x+(x+2)+(x+4)=36 -----> equation that represent the situation

solve for x

Combine like terms in the left side

(x+x+x)+(2+4)=36

3x+6=36

therefore

<u>the answer is the option B</u>

3x+6=36


Oxana [17]3 years ago
3 0

The equation that can be used to find the first integer is B) 3x + 6 = 36

<h3>Further explanation</h3>

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 :

<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 {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 :

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

Let us tackle the problem.

<u>Given:</u>

The First Integer = x

The Second Integer = x + 2

The Third Integer = x + 4

<em>The sum of three consecutive even integers is 36.</em>

\texttt{The First Integer + The Second Integer + The Third Integer = 36}

x + (x + 2) + (x + 4) = 36

x + x + x + 2 + 4 = 36

\large {\boxed {3x + 6 = 36} }

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

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