First you need to turn this into an improper fraction. Then, using your improper fraction, you simplify
Answer:
huh?, give the full answer please
Step-by-step explanation:
Answer:
-3/2
Step-by-step explanation:
Let x = the integer:
2x^2 - 18 = 9x
2x^2 - 9x - 18 = 0
Now either factor that or use the quadratic formula if you're lazy like me.
x = -3/2 and 6, so x must be 6 because it has to be an integer.
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable.
Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes
y = kx
If y = 8 when x = 3, then
8 = 3k
k = 3/8
Therefore, the direct variation equation that relates x and y is
y = 3x/8
When x = 12, then
y = 3 × 12/8
y = 4.5
Answer:
{x,y} = {3,-2}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 2x - 8
// Plug this in for variable y in equation [2]
[2] 3x - 2•(2x-8) = 13
[2] -x = -3
// Solve equation [2] for the variable x
[2] x = 3
// By now we know this much :
x = 3
y = 2x-8
// Use the x value to solve for y
y = 2(3)-8 = -2
Solution :
{x,y} = {3,-2}
