Y= 4x-9 and y=x-3 Also using transitive property

1 answer:

4 0

Y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal

4x-9 = x-3

Let's solve for x

4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2

If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1

So overall x = 2 and y = -1

We have the ordered pair (x,y) = (2,-1)

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The number of students in Mrs. Patrick's piano class decreased by 15% in 2 years to 17 students. How many students did she have

guapka [62]

Answer:

20 students

Step-by-step explanation:

If the class decreased by 15%, the students that she has now (17) represents a percentaje of:

100% - 15% = 85%

so the 17 students are 85% of what she had:

Students Percentage

17 ⇒ 85%

and we are looking for how many students she had 2 years ago, thus we are looking for the 100% of students (the original number of studens). If we represent this number by x:

Students Percentage

17 ⇒ 85%

x ⇒ 100%

and we solve this problem using the rule of three: multiply the cross quantities on the table( 17 and 100) and then divide by the remaining amount (85):

x = 17*100/85

x = 1700/85

x=20

2 years ago she had 20 students

6 0

3 years ago

3(2−4)=−30 step by step

Margarita [4]

3•2-3•4
6-12=-30
-6=-30
false

6 0

3 years ago

Please help me asap! Thank you!