Answer:
p = -6
Step-by-step explanation:
1) Distribute 3 through the parenthesis {3p + 12 = p}
2) Subtract 12 from each side {3p = p - 12}
3) Subtract p from each side {2p = -12}
4) Divide each side by 2 {p = -6}
Answer:
105
Step-by-step explanation:
A "set" is a group of numbers.
A "positive integer" is a whole number that's bigger than zero.
"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)
"least" means smallest.
15 and 35 both go into 105.
Answer:
(4,11/2)
Step-by-step explanation:
5x-2y=9
12x-8y=4
A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.
4(5x-2y=9)
Now we need to decide if we should add or subtract the equations.
20x-8y=36
12x-8y=4
Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.
20x-8y=36
-12x-8y=4
----------------
8x=32
Divide both sides by 8 to get the x-value:

x=4
Now that we have our x-value, we need to plug in the y-value.
5x-2y=9
5(4)-2y=9
20-2y=9
-2y=-11
y=11/2
So our solution is (4,11/2)
Let's check our work.
5x-2y=9
5(4)-2(11/2)=9
20-22/2=9
20-11=9
9=9
12x-8y=4
12(4)-8(11/2)=4
48-88/2=4
48-44=4
4=4
Our solution is correct.