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nikklg [1K]
3 years ago
9

How many solutions does the system of equations have

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0
2x - 9y = -5
4x - 6y = 2

multiple first equation by 2:

4x - 18y = -10
4x - 6y = 2

Subtract 2 from 1:

-12y = -12
y = 1

Now plug y=1 into any equation. I go with second:

4x - 6(1) = 2

4x - 6 = 2
4x = 8
x = 2

So the solution is (2,1) therefore there is one solution.
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Which ratios (2) would be used in a proof to prove the Pythagorean Theorem?
fredd [130]

Answer:

(a+b)2 =  4⋅1/2ab+c2 ⇔c2=a2+b2

5 0
3 years ago
The sum of the two number is 16 and difference is 12 wahat is it
Cerrena [4.2K]
<span>Let n, n+2, and n+4 represent the three consecutive even integers.</span>
7 0
4 years ago
Can someone help me with number 19 please?
andreyandreev [35.5K]

I think I can.
Let's do it together:

Let's call the number of buses 'B', and the number of vans 'V'.
(Pretty clever so far, don't you think ?)

OK. What do we know ?

-- Each bus holds 51 passengers.  The number of passengers in 'B' buses is 51B.

-- A van holds 10 passengers.  The number of passengers in 'V' vans is 10V.

-- The total number of passengers ... (51B + 10V) ... is 142.

-- The total number of vehicles ... (B + V) ... is 6, because there are 6 drivers.

Can you make a system of equations out of that information yet ?
How about this:

     51B + 10V = 142
         B  +    V =     6

I really think you can handle it from here.
=======================================

Multiply the 2nd equation by 10 :

     51B + 10V = 142
     10B + 10V =   60

Subtract the 2nd equation from the 1st one:

       41B        =  82

Divide each side by 41:  <em>  B = 2 buses</em>

2 buses . . . . 2 drivers . . . . 2 x 51 = 102 passengers

4 vans . . . . . 4 drivers . . . . . 4 x 10 =  40 passengers

6 vehicles . . . 6 drivers . . . . . 102 + 40 = 142 passengers


7 0
3 years ago
The area of a square piece of land is 784metersquared .What is the perimeter​
Marta_Voda [28]

Answer:

112 m

Step-by-step explanation:

The area (A) of a square is

A = s² ( s is the length of side )

Here A = 784 , then

s² = 784 ( take the square root of both sides )

s = \sqrt{784} = 28

Then

perimeter = 4s = 4 × 28 = 112 m

7 0
3 years ago
Read 2 more answers
In gym class students were asked to form nine equal groups. If there were 16 students in each group, then how many total student
agasfer [191]

Answer:

there are 144 students in total

7 0
3 years ago
Read 2 more answers
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