Ur gonna have to pick an equation and solve for a variable.
2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3
now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
-42 -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3
now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6
solution is (6,3)
it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)
so yes, ur solution is (6,3)
Answer:
Step-by-step explanation:
Summation means that you are adding together all the numbers that result from putting in the numbers 5-11 for i:
(-7 - 6(5)) + (-7 - 6(6)) + (-7 - 6(7)) + ( -7 - 6(8)) + ( -7 - 6(9)) + ( -7 - 6(10)) + ( -7 - 6(11)) which gives you the numbers:
-37 + -43 + -49 + -55 + -61 + -67 + -73 = -385
Answer:
I think 38%
Step-by-step explanation:
, and 
. This gives a remainder of
, and 
. This gives a new remainder of
, and 
. This gives a new remainder of
and so there is no remainder.
###
Quicker method: Use the polynomial remainder theorem, which says the remainder upon dividing a polynomial 
by 
is 
. Here we have
Answer:
7.5 metres
Step-by-step explanation:
height : shadow
1.5 : 3
X : 15
X/15 = 1.5/3
X = 15/2
X = 7.5
