Answer:
( -
,
)
Step-by-step explanation:
Given the 2 equations
9x + 8y = 3 → (1)
6x - 12y = - 11 → (2)
To eliminate the y- term multiply (1) by 1.5
13.5x + 12y = 4.5 → (3)
Add (2) and (3) term by term
(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)
19.5x = - 6.5 ( divide both sides by 19.5 )
x =
= - 
Substitute this value into either of the 2 equations and solve for y
Using (1), then
- 3 + 8y = 3 ( add 3 to both sides )
8y = 6 ( divide both sides by 8 )
y =
= 
Solution is (-
,
)
The line x - y = 5 passes through points (-5,0) and (0,5)
the line in slope intercept form is y = x + 5 and plug in the point to see if the equation is true.
X= 2/3
6x/x-6 - 4/x - 24 / x^2 - 6x = 0
6x^2 -4 (x-6)-24 / x(x-6) = 0
6x^2 -4x+ 24 -24/x(x-6) = 0
X(6x-4) / x(x-6)
6x-4/x-5 = 0
6x-4= 0
6x = 4 divide both sides by 6
X= 2/3
Answer:
1.5 miles
Step-by-step explanation:
According to the scale, we can simply multiply the distance that Sonja measured on the map by the actual mile distance that it states on the scale (1/2 or 0.5) to calculate the actual distance between Sonja's house and Sal's house like so...
3 * 0.5 = 1.5 miles
Therefore, we can see now that there is a total actual distance of 1.5 miles between both of their houses, which is represented as 3 inches on the map.
Answer:
x = 8.45
Step-by-step explanation:
5.4 + 0.2x = 7.09
Subtract 5.4 from both sides to leave 0.2x alone
0.2x = 1.69
Divide by 0.2 on both sides to isolate x
x = 1.69/0.2
x = 8.45