<u>x = 8</u>
<u>y = 3</u>
x = 5y - 7
x + y + 1 = 12
Because we have a value for x, we can use it in the second equation to find the value of y.
5y - 7 + y + 1 = 12
<em><u>Combine like terms</u></em>
6y - 6 = 12
<em><u>Add 6 to both sides.</u></em>
6y = 18
<em><u>Divide both sides by 6.</u></em>
y = 3
Now that we have a value for y we can place it back in the equation to find the value of x.
x + 3 + 1 = 12
<em><u>Subtract 4 from both sides.</u></em>
x = 8
Answer:
(f/g)(-5) = 5
Step-by-step explanation:
You mean, "determine the value of (f/g)(x) at x = -5."
That would be:
f(x) 2x - 20
------- = ------------ and we now substitute -5 for x:
g(x) x - 1
2(-5) - 20 -30
(f/g)(-5) = --------------- = -------- = 5
-5 -1 -6
Answer:
In the graph we can find two points, lets select:
(2, 15) and (4, 30)
Those are the first two points.
Now, for two pairs (x1, y1) (x2, y2)
The slope of the linear equation y = s*x + b that passes trough those points is:
s = (y2 - y1)/(x2 - x1)
So the slope for our equation is
s = (30 - 15)/(4 - 2) = 15/2
then our linear equation is
y = (15/2)*x + b
now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)
15 = (15/2)*2 + b = 15 + b
b = 15 - 15 = 0
then our equation is:
y = (15/2)*x
Where we used a division and a multiplication.
Answer:
m∠ABD = 132 °
Step-by-step explanation:
m∠ABE = m∠DBE
and
m∠ABD = m∠ABE + m∠DBE
Because m∠ABE = 66°, therefore m∠DBE = 66°, so that
m∠ABD = 66° + 66° = 132°