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inysia [295]
3 years ago
9

What is the solution to the system below? y = 5x - 9 y = x + 3

Mathematics
2 answers:
Alex3 years ago
7 0

Answer:

I think it like this .........

Softa [21]3 years ago
7 0

Answer:

(3, 6 )

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x + 3 → (2)

Substitute y = 5x - 9 into (2)

5x - 9 = x + 3 ( subtract x from both sides )

4x - 9 = 3 ( add 9 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 3 + 3 = 6

solution is (3, 6 )

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Suppose 12% of the students chose to study French their freshman year, and that meant that there were 21 such students. How many
AleksAgata [21]

Answer:

154 students

Step-by-step explanation:

First get the total number of students .

This can be gotten by

12% of A = 21

Where A represents the total number of students.

12% represents the % of A that chose to study French and 21 is the number of students that studied French .

Therefore,

12% /100% x A = 21

0.12 x A = 21

Divide both sides by 0.12

0.12/0.12 x A = 21/0.12

A = 175

The total number of students is 175.

If 21 chose to study French their freshman year ,number of students that chose not to will be total number of students minus number of those who chose to study French.

That’s

175 - 21

= 154

154 students chose not to study French their freshman year

4 0
3 years ago
A triangle has an area of 54 square inches the height of the triangle is 12 inches what is the length of the base of the triangl
prohojiy [21]

Answer:

<em>The base of the triangle = 9inches</em>

Step-by-step explanation:

<u>Explanation</u>:-

The area of the triangle = \frac{1}{2} bh square units

Given area of the triangle(A) = 54 square inches

Given the height of the triangle (h) = 12 inches

now  equating     \frac{1}{2}  b h = 54

                          \frac{1}{2}  b (12)  = 54

now simplification, we get

                           6 b = 54

Dividing '6' on both sides, we get

                             b = 9

The base of the triangle = 9 inches

<u>Conclusion</u>:-

<em>The base of the triangle = 9 inches</em>

6 0
3 years ago
The speed of a stream is 4km/h. A boat travels 6 km upstream in the time it takes to travel 12 km downstream. What is the speed
Usimov [2.4K]
<span>6 km × 1 hour/(b-4 km) = 12 km × (1 hour/(b+4 km) 

6/(b-4) hours = 12/(b+4) hours

6(b+4) = 12(b-4)

6b + 24 = 12b - 48
72 = 6b
b = 12 
The boat's speed in still water is 12 km/hour.</span>
4 0
3 years ago
Can someone please explain to me how to find the value of m? thanks<br>-10 = -10 + 7m
GarryVolchara [31]
                                        -10  =  -10  +  7m

Add  10  to each side:      0  =          7m

Divide each side by  7 :    0  =          m


Please take a second and just LOOK at the equation you started with.
It says: 

--  You have this number '-10' . 

--  Your number  -10  is going to be exactly the same size
     after you add 7 of something to it.

The ONLY way that could happen is if the 'something' is 'nothing' .

       ' m '  must be nothing.
8 0
3 years ago
Read 2 more answers
Solve the equation for x 6x-18-3x&lt;27-2x
lisabon 2012 [21]

Answer:

x<9

Step-by-step explanation:

3 0
3 years ago
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