The value of x is 1.5.
Step-by-step explanation:
Step 1:
First, we must convert the mixed fractions into improper fractions.
To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged.
To convert the fraction
Step 2:
So
By cross multiplying the fraction on the left-hand side of the equation, we get
So the value of x is 1.5.
Since this equation has infinite solutions (each pair is a point on the line with equation x-6y=6), you can choose an arbitrary value for x, say 0, and deduce y:
So, (0,1) is an ordered pair (x,y) that is a solution to the equation x-6y=6.
You can repeat this process with every possible x value, and solve for the correspondent y value and find infinite pairs.
My answer is a and c becuase they equal the same on each side
n = 4
calculate the slope m using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (8, - 4 ) and (x₂, y₂ ) = (10, n )
m = =
now m = 4, hence
= 4 ( multiply both sides by 2 )
n + 4 = 8 ( subtract 4 from both sides )
n = 4