3 years ago

10 times the sum of half a number and 6 is 8

1 answer:

8 0

10 (x/2 +6)=8
10x/2 +60=8
Subtract 60 from both sides
10x/2+60-60=8-60
10x/2= -52
Multiply both sides by 2
(10x/2)*2= -52*2
10x= -104
Divide both sides by 10
10x/10=-104/10
Answer: x= -10.4

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The equation is in Slope-Intercept format: y = mx + b where

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$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\\text{Let }(x_1,y_1)=(0,1)\quad \text{and}\quad \text{let }(x_2, y_2)=(1,4)\quad then\\\\m=\dfrac{4-1}{1-0}=\dfrac{3}{1}=3$