First you want to get x by it’s self so you need to get ride of your 5 so you subtract 5 on both sides leaving you with -2 and -5 on the same side then you combine those two number to get -7 now to get your x all you have to do is divide both sides by -7 since your x is -7 once once your x is now by its self but on the other side -7 divided by -7 equals 1 bc 7 goes into 7 once and it turns positive because anytime you divide an negative number by a negative number it turns into a positive number so your answer over all is 1=x
Use the Pythagprean theorem:
We have:
Substitute:
Answer:
3/4
Step-by-step explanation:
3/5(1+p)-21/20
3/5+3/5p=21/20
3/5p=21/20-3/5
3/5p=21/20-12/20
3/5p=9/20
p=9/20÷3/5
p=9/20*5/3
p=45/60
p=3/4
The answer is <span>B) 41</span>
Step 1: Find x and y
Step 2: Calculate 5x + 7y
Step 1.
2x + 3y = 17
3x + 4y = 24
_________
Multiple the first equation by 3, and the second one by -2:
3 * 2x + 3 * 3y = 3 * 17
(-2) * 3x + (-2) * 4y = (-2) * 24
_________
6x + 9y = 51
-6x - 8y = - 48
_________
Sum up these two equations:
6x + 9y + (-6x - 8y) = 51 + (-48)
6x + 9y - 6x - 8y = 51 - 48
_________
6x can be canceled:
9y - 8y = 3
y = 3
Now, replace y in one of the equtions:
3x + 4y = 24
3x + 4*3 = 24
3x + 12 = 24
3x = 24 - 12
3x = 12
x = 12/3 = 4
Step 2:
Now that we know that x = 4 and y = 3, we can calculate <span>5x +7y:
5x + 7y = 5 * 4 + 7 * 3 = 20 + 21 = 41</span>
They will have to buy all three items again in 9 years