The solution to the original equation is 1, 1/6
<h3>Solving equation</h3>
Equations are expressions separated by mathematical operations.
Given the equation below
x/x − 1 = 6x + 1/x − 1
From the given expression, the least common denominator is x -1
Multiply both sides by x-1 to have;
x = 6x(x-1) +1
Expand
x = 6x^2-6x + 1
Equate to zero
6x^2-6x-x + 1 = 0
6x^2-7x +1= 0
The resulting quadratic equation in general form is 6x^2-7x +1 = 0
Factorize
6x^2 -6x-x + 1 = 0
Group the result
6x(x-1)-1(x-1) = 0
(6x-1)(x-1) = 0
6x - 1 = 0 and x -1 = 0
x = 1 and 1/6
Hence the solution to the original equation is 1, 1/6
Learn more on equation here: brainly.com/question/13763238
#SPJ1
Answer:
<h2>
m = ¹/₁₄</h2>
Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = -14x - 1 ⇒ m₁ = -14
-14×m₂ = -1 ⇒ m₂ = ¹/₁₄
So, the slope of a line perpendicular to the line y = -14x - 1 is m = ¹/₁₄
The verbal expression for 1/8y could be 'the product of one-eighth and a number' or 'one-eighth of a number'.
Answer:
y=4−2x/3
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.
