Answer:
{x = 7 , y = -4
Step-by-step explanation:
Solve the following system:
{3 x + 2 y = 13 | (equation 1)
{x + 2 y = -1 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + 2 y = 13 | (equation 1)
{0 x+(4 y)/3 = (-16)/3 | (equation 2)
Multiply equation 2 by 3/4:
{3 x + 2 y = 13 | (equation 1)
{0 x+y = -4 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 21 | (equation 1)
{0 x+y = -4 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 7 | (equation 1)
{0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 7 , y = -4
Answer:
C and D
Step-by-step explanation:
the answers are C and D.
Answer:
Step-by-step explanation:
Divide both sides by 2:
Take the square root of both sides:
The only two places on the unit circle where the y value of the point is 
are at:
Hope this helps!
Answer:
Step-by-step explanation:
When two variables are directly proportional, then an increase in the value of one variable would cause a corresponding increase in the value of the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the value of the other variable.
The volume of a gas is directly related to the temperature of the gas. If V represents volume, T represents temperature and k represents the constant of proportionality, the expression becomes
V = kT
At 20 degrees Celsius a certain gas has a volume of 125 cubic centimeters. It means that
125 = 20k
k = 125/20
k = 6.25
The equation becomes
V = 6.25T
When T = 50 degrees Celsius, the new volume would be
V = 6.25 × 50
V = 312.5 cubic centimeters
