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)
10 to the sixth power is 1,000,000. Any number to the tenth power is the number 1 in front of the number of zeros that is equal to the exponent.
The total number of beads that Lexi could accommodate based
on the on hand items is 101 beads. Subtract the number of beads she needs which
is 144 beads with 101 beads. The amount of beads that would need a box is 43
beads. Since a medium box could only accommodate 10 beads at a time, divide 43
with 10 and the answer would be 4 remainder 3. Thus Lexi would only need 4
medium boxes.
The rationalized form of 1+ √2/1-√2 is -2√2-3
