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3 years ago

Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y

Mathematics

2 answers:

gayaneshka [121]3 years ago

8 0

9514 1404 393

Answer:

(x, y) = (7, 2 2/3)

Step-by-step explanation:

We can multiply the first equation by 2/5 to get ...

8x -6y = 40

The second equation gives an expression for 6y that we can substitute.

8x -(3x -5) = 40

5x +5 = 40 . . . . . eliminate parentheses

x +1 = 8 . . . . . . . .divide by 5

x = 7 . . . . . . . . . .subtract 1

Using the second equation, we find ...

3(7) -5 = 6y

y = 16/6 = 2 2/3

The coordinates of the point of intersection are (x, y) = (7, 2 2/3).

Mekhanik [1.2K]3 years ago

5 0

Answer:

(-4.666667, -3.16667)

Step-by-step explanation:

(-4 2/3, -3 1/6)

You might be interested in

The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

8 0

3 years ago

Read 2 more answers

-4(3-x)+6=2(x-3) how do you solve thia

maksim [4K]

-4(3-x)+6=2(x-3) -12+4x+6=2x-6 -6+4x=2x-6 -6+6=2x-4x 0=-2x 0/x=-2

4 0

3 years ago

(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how

Sliva [168]

Answer:

The total amount that he would have paid after 3 years is $1183.