Answer:
Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.
When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.
Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.
Answer:
FD = 15
Step-by-step explanation:
35/21 = 25/x
35x = 525
x = 15
Step-by-step explanation:
The answers are proved by replacing x with 3 and 6 respectively.
Answer: the distance between these two points is 17
Step-by-step explanation:
Answer:
(7,9)
Step-by-step explanation:
7x - 8y = -23
7x - 7y = -14
Solve the equation for 7x
7x - 8y = -23
7x = -14 + 7y
Substitute the given value of 7x into the equation 7x - 8y = -23
-14 + 7y - 8y = -23
solve the equation for y
y = 9
substitute the given value of y into the equation 7x = -14 + 7y
7x = -14 + 7(9)
solve the equation for x
x = 7
<u>(7,9)</u>