Solve the following equation for x: 2x + 5y = 8.
1 answer:
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It's <span>Diophantine equation.
First, we need to found gcd(6,(-2)):</span>
6=2*3
(-2)=(-1)*2
So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
So, we can solve it.
Now is the formula:
Second, we need the first pair (x0,y0)
if
x=0
then
Third, we gonna use that formula:
Congratulations! We solve it.
First, we need to found gcd(6,(-2)):</span>
6=2*3
(-2)=(-1)*2
So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
So, we can solve it.
Now is the formula:
Second, we need the first pair (x0,y0)
if
x=0
then
Third, we gonna use that formula:
Congratulations! We solve it.
Answer:
Part A)
1)
2)
Part B)
1)
2)
Step-by-step explanation:
Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or
step 1
<u>Find the value of k</u>
x=50 when y=5
substitute the values
------>
----->
The equation is equal to
or
step 2
<u>Find y when x=10</u>
substitute the value of x in the equation and solve for y
Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
step 1
<u>Find the value of k</u>
x=6 when y=42
substitute the values
------>
----->
The equation is equal to
or
step 2
<u>Find y when x=12</u>
substitute the value of x in the equation and solve for y