Identify 3x + 5 = 11 is a linear equation or not
Answers
Answer:
Yes 3x+5=11 is a linear equations
Answer:
Step-by-step explanation:
To solve the given linear equation, -3x + 5 = 11, for the variable x, begin by subtracting 5 from both sides of the equation in order to begin isolating the variable x on one side, in this case the left side, as follows:
-3x + 5 = 11 (Given)
-3x + 5 - 5 = 11 - 5
-3x + 0 = 6
-3x = 6
Now, divide both sides of the equation by -3 in order to isolate x on the left side, thus finally solving the equation for x as follows:
(-3x)/-3 = 6/-3
(-3/-3)x = 6/-3
(1)x = -2
x = -2
CHECK (ALWAYS PERFORM THIS STEP, AND DO SO BACK IN THE ORIGINAL, GIVEN EQUATION!):
-3x + 5 = 11
-3(-2) + 5 = 11
6 + 5 = 11
11 = 11
Therefore, x = -2 is indeed the solution to the given equation.
REMEMBER: For solving equations, WHATEVER YOU DO TO ONE SIDE OF THE EQUATION, YOU MUST DO TO THE OTHER SIDE.