6 =2(x+8)-5x
6 =2x+16-5x
6-16=2x-5x
-10=-3x
10=3x
x=10/3
hence proved
Answer:
Step-by-step explanation:
+
5
1
6
=
−
1
n+\frac{5}{16}=-1
n+165=−1
Solve
1
Subtract
5
1
6
\frac{5}{16}
165
from both sides of the equation
+
5
1
6
=
−
1
n+\frac{5}{16}=-1
n+165=−1
+
5
1
6
−
5
1
6
=
−
1
−
5
1
6
n+\frac{5}{16}{\color{#c92786}{-\frac{5}{16}}}=-1{\color{#c92786}{-\frac{5}{16}}}
n+165−165=−1−165
2
Simplify
Solution
=
−
2
1
The answer is y = 35x + 20.
In order to find this, start with two ordered pairs. For the purpose of this problem, we'll use (1, 55) and (2, 90). Now we use the slope formula to find the value next to x in the equation.
m(slope) = (y2 - y1)/(x2-x1)
In this equation (x1, y1) is the first ordered pair and (x2, y2) is the second. Plug in to the equation and solve.
m = (90 - 55)/(2 - 1)
m = 35/1
m = 35
Now that we have the slope, plug that into the equation along with either point to find the intercept (the last number).
y = mx + b
55 = 35(1) + b
55 = 35 + b
20 = b
Now that we have the slope and intercept, we can use each to fill in those blanks.
y = 35x + 20
