Answer:
The sum of two numbers is 18.
5 times the first number subtracted from 4/7 of the second number is 14.
First number --> x
Second number --> y
so
x + y = 18 --> x = 18-y
5x - (4/7)y = 14
so
5 (18-y) - (4/7)y = 14
90 - 5y - 4/7 y = 14
-5.57 y = 14-90
y = 13.64
so
x = 18 - 13.64
x = 4.36
Answer:

Step-by-step explanation:
The rule for the translation is given as

The coordinates of F are (2,2).
We substitute these coordinates into the translation rule to find the coordinates of F'.


Equation 1 is
,
Equation 2 is [/tex] 3x-2y = -1 [/tex]
for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15


Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method

Add both the equations


Divide both sides by 11

Plug in any one of the equation we get
3(3) -2y = -1
9 - 2y = -1
subtract 9 from both sides
-2y = -10
divide both sides by -2
y=5
So the solution is x= 3 , y= 5
Which means
a. The system is consistent and independent. TRUE
Answer:
The x-coordinate of point P is 6
Step-by-step explanation:
we have
A (2,3) and B (8,0)
we know that
Point P portions the segment AB in the ratio 2 to 1
so

and

where
AP_x represent the distance between the points A and P in the x-coordinates
AB_x represent the distance between the points A and B in the x-coordinates


The x-coordinate of P is equal to

where
A_x represent the x-coordinate of A
substitute the values

therefore
The x-coordinate of point P is 6