Answer:
x=-4 and y=10
Step-by-step explanation:
Use the second equation to make y=x+6
sub y=x+6 into the first equation
-x-2*(x+6)=0
-x-2x-12=0
-3x-12=0
3x=-12
x=-4
Now sub x=-4 into the second equation
-(-4)+y=6
y=6+4
y=10
Answer:
x= -1; y= -2
Step-by-step explanation:
A: 6x+4y= -14
B: -x-5y=11
6B is : -6x-30y=66
A+6B is : -26y=52
so y= -2
so A becomes : 6x+4.(-2)= -14
so x= -1
The two numbers have 1 as a common factor and nothing else. Hence 1 is the HCF. This proves that the HCF of any two consecutive numbers is always a one.
Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
Answer:
<u>y = -3x + 8</u>
Step-by-step explanation:
<u>Given :-</u>
Point on line = (5, -7)
Slope (m) = -3
<u>To find :-</u>
Equation of line
<u>Solving :-</u>
Using point-slope form of equation,
y - y₁ = m(x - x₁)
y + 7 = -3(x - 5)
y + 7 = -3x + 15
<u>Solution :-</u>
<u>y = -3x + 8</u>
Answer:
n=30
Step-by-step explanation:
4 15
------ = --------
8 n
using cross products
4n = 8*15
4n = 120
divide by 4
4n/4 =120/4
n = 30