Answer:
Step-by-step explanation:
First Group like terms:
Add similar elements:
Answer:
y = -2x - 3
Step-by-step explanation:
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)
As we travel from (-2, p) to (2, 2p+1), x increases by 4 and y increases by p+1. Note that -2 + 4 = 2 (which is correct), and that p + (p+1) = 2p+1 (which is also correct).
p+1
Thus, the slope of this line is m = rise / run = -------- = 9
4
Then p + 1 = 36, and p = 35.
