All categories

2 years ago

What is the solution of the system of equations 2x-5y=11 and -2x+3y=-9

1 answer:

6 0

Equation 1:
x = (5y+11)/2
Substitute equation 1 to 2:
-2((5y+11)/2)+ 3y=-9
-2/2 = -1 thus -1(5y+11)

Continue...
-(5y+11)+3y=-9
-5y-11+3y =-9
(-5+3)y= 11-9
-2y = 2
y=-1

Substitute y into equation 1:
x=(5*-1+11)/2
x = 6/2=3

So y=-1 and x =3

You might be interested in

Solve for n: -1/2 (n + 8) +3/4

vlabodo [156]

$\frac{1}{2} (n+8) + \frac{3}{4}$

$\frac{1(n+8)}{2} + \frac{3}{4}$

$\frac{n+8}{2} + \frac{3}{4}$

$\frac{2(n+8)}{4} + \frac{3}{4}$

$\frac{2(n+8) + 3}{4}$

$\frac{2n + 16 +3}{4}$

$\frac{2n + 19}{4}$

7 0

1 year ago

The taxi fare in Metropolis is $3.75 for the first mile and additional mileage charged at the rate of $0.30 for each additional

Alexxx [7]

Answer:

Total charge

4.25

1.50

(

−

)

Total charge for 12 miles

20.75

Explanation:

Building the rule

The trick with algebra is to think what you would do with numbers, then substitute letters.

Mile number 1 costs

4.25

The rest of the miles

⇒

(

total miles

−

)

1.50

Putting this all together we have:

4.25

(

total miles

−

)

1.50

The question instructs that we are to use the letter m for the total miles so we now have:

4.25

(

−

)

1.50

This would be written as:

4.25

1.50

(

−

)

Total charge

4.25

1.50

(

−

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Determine the charge for 12 miles

Total charge

4.25

1.50

(

−

)

Total charge

4.25

1.50

(

)

Total charge for 12 miles

4.25

16.50

20.75

Hope this helps you...

7 0

2 years ago

Read 2 more answers

Find the surface area

xz_007 [3.2K]

Answer:

base -l*b - 13*6.5 - 84.5

6 0

2 years ago

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

<u>Answer-</u>

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$