Answer:
x=0
Step-by-step explanation:
To solve, we need to get all the variables on one side of the equation, and all the numbers on the other
6(x + 1) – 5x = 8 + 2(x - 1)
First, distribute the 6 on the left
6*x+6*1 -5x=8 +2(x-1)
6x+6-5x=8+2(x=1)
Combine like terms on the left
(6x-5x)+6=8+2(x-1)
x+6=8+2(x-1)
Distribute the 2 on the right
x+6=8+2*x+2*-1
x+6=8+2x-2
Combine like terms on the right
x+6=2x+(8-2)
x+6=2x+6
Subtract x from both sides
6=x+6
Subtract 6 from both sides
x=0
Hope this helps! :)
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
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It would be a right angle
Answer:
Step-by-step explanation:
