Answer:
( m, n) = ( -6 , 11) .
Step-by-step explanation:
Given : A system of equations is shown below: n = 3m + 7
n − 2m = 1.
To find : What is the solution, in the form (m, n), to the system of equations.
Solution : We have given
n = 3m + 7 ------(1)
n − 2m = 1
We can write it as n = 1 + 2m -----(2)
In equating both equation (1) = (2).
n = n
3m + 7 = 1 +2m.
On subtracting both sides by 2m
3m - 2m + 7 = 1.
m + 7 = 1
On subtracting by 7 both sides
m = 1 - 7.
m = -6.
On plugging the value of m = -6 in equation 1.
n = 3m + 7
n = 3 (-6) + 7.
n = -18 + 7.
n = -11.
Then solution ( m, n) = ( -6 , 11) .
Therefore, ( m, n) = ( -6 , 11) .
-4 - (-5)
-4 - 3
8 - 9
-6 - (-4)
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
its b on ed 2020
Answer:
The number Y is 862.
Step-by-step explanation:
Given : Y is a three digit number and the digits of Y add to 16 and The first digit is 4 times the third digit. The second digit is 3 times the third digit.
We have to find the number Y.
Since, Y is a three digit number
Let Y = abc , where a, b, c are the digits of Y.
According to given question ,
a + b + c = 16 ........(1)
also, The first digit is 4 times the third digit that is a = 4c ....(2)
and, The second digit is 3 times the third digit that is b= 3c ....(3)
Substitute (2) and (3) in (1) , we get,
⇒ 4c + 3c + c = 16
⇒ 8c = 16
⇒ c = 2
Thus, c = 2
Put c = 2 in (2) and (3) to find a and b ,
thus, a = 4c = 4(2) = 8
b = 3c = 3(2)= 6
Thus, number Y = abc = 862.