By using the elimination method, you would essentially add the two equations together by combining like terms. normally this would require manipulation however this equation doesn't because the y is already opposites of each other. (a negative and positive value of the same number i.e. -2 and 2)
so add the two equations together and you're left with 2x = 16, (they y's cancelled each other out) then divide two on both sides to get x = 8
now, use that x value in either equation (it doesn't matter which), we can use -3x+2y=-26
plug it in to get -3(8) + 2y = -26
which is then -24 + 2y = -26
add 24 to both sides: 2y = -2
divide 2 on both sides: y = -1
now knowing x=8 and y= -1 we can say that the answer is (8,-1)
hope this helps!!
We can put this information into two equations:
7 booklets = 140 stamps
3 booklets = 60 stamps
Let us then focus on one equation to find the relationship:
7 booklets = 140 stamps
If we put that into a fraction, we get
or
.
This means that for every booklet, Ashley gets 20 stamps; or rather, each booklet has 20 stamps.
We can then see that this relationship holds true for the second equation as well:
or
.
To write a general equation for this relationship using
p for the number of postage stamps, and
b for the number of booklets:
p = 20b
Where
b is equal to
p.
Answer:
27 more games
Step-by-step explanation:
The team has played 75 games so far. Theyve won 50 out of 75 of those games. They still have 45 games left to play. That's 120 games in total. 60% of 120 is 72. They have to win 72 games in total. 72 - 45 = 27. They need to win 27 more games in order to have won 60% of all the games theyve played.
Answer:
t < 2
Step-by-step explanation:
- 15t – 6 < 12t
- 15t - 12t < 6
- 3t < 6
- t < 6/3
- t < 2
Not enough information.
You've got one equation with two variables. There are an infinite number of answers.
Any pair of numbers works, just as long as b is 4 times the size of a .