Given:
The tens digit of a two digit number is 5 greater the units digit.
If you subtract double the reversed number from it, the result is a fourth of the original number.
To find:
The original number.
Solution:
Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:



Reversed number is:


If you subtract double the reversed number from it, the result is a fourth of the original number.



Multiply both sides by 4.



Divide both sides by 55.


The unit digit is 2. So, the tens digit is
.
Therefore, the original number is 72.
Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.
Step-by-step explanation:
one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.
12x+2=17y
12x+2=17(0)
12x+2=0
-2 -2
——
12x+0= -2
— —
12 12
x= -2/12
X= -1/6
Step-by-step explanation:
An equivalent fraction can be found by either multiplying the numerator and denominator by the same number or dividing the numerator and the denominator by the same number.
Answer:
x = -2 and y = 2
Step-by-step explanation:
The given equations are :
-5x-2y=6 ...(1)
3x+6y=6 ...(2)
Multiply equation (1) by 3. SO,
-15x-6y=18 ...(3)
Adding equation (2) and (3).
3x+6y-15x-6y = 6+18
-12x = 24
x = -2
Put the value of x in equation (1).
-5(-2)-2y=6
10-2y=6
4=2y
y = 2
So, the value of x is -2 and y is 2.