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skad [1K]
3 years ago
7

5x-7y=-2 -5x-10y=-15

Mathematics
1 answer:
seraphim [82]3 years ago
8 0

{5x-7y=-2

<u>{-5x-10y=-15     </u>(+)

<em>5x-5x-7y-10y=-17</em>

<em> </em>-17y=-17    /:(-17)

  y=1

<em /><em>5x-7 *1=-2</em>

<em />5x-7=-2    /+7

5x=5     /:5

x=1

<u>Solution:</u> (1; 1)   

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6v+12b=504<br> 2v+5b=204
ss7ja [257]

Answer:

Step-by-step explanation:

6v + 12b = 504       eq1

2v +  5b = 204        eq2

6v +  15b = 612       eq2  times 3    

0     -3b   = 504 - 612        subtraction of the two bolded eqs

         -3b  =  -108                solve for b

            b  =    36

    Another way to solve the problem

6v + 12b = 504        I would eliminate the v term by multiplying the bottom

2v +  5b = 204        equation by -3 on BOTH sides and then add the two eqs

   2v +  5b  = 204

-3(2v +  5b) = -3(204)

 -6v  -  15b  =  -612

   

6v  + 12b  =   504

-6v  -  15b  =  -612            add the like terms

(6v + (-6v)) + (12b + (-15b)  =  504 + (-612)

(6v -6v)) + (12b - 15b)  =  504 - 612)

    0       +         -3b     =    - 108            solve for b   divide both sides by -3

                           b   =  -108/-3

                             b =  36                  

use eq   2v +  5b = 204       to solve for v       and knowing b = 36

        2v +  5b = 204      b=36

        2v +  5(36)  = 204                 substract 5 times 36 from both sides

                 2v   =   204 - 180

                    v  =    24 / 2

                    v  =  12

NOW CHECK the values for b and v using the OTHER eq

       6v      +     12b      =    504

       6(12)   +   12(36)    =    504

         72    +     432      =    504

                        504      =    504           IT CHECKS

4 0
3 years ago
Which equation represents the line that is perpendicular to y = 5 and passes through (-4,-3)?
kenny6666 [7]

Answer:

The required equation is: y=-3

Option D is correct.

Step-by-step explanation:

We need to write equation of line that is perpendicular to y = 5 and passes through (-4,-3).

The equation of line in slope-intercept form is expressed as: y=mx+b

where m is slope and b is y-intercept.

Finding Slope:

Comparing with the given equation y=5, the slope m =0

The slope of required line will be opposite reciprocal of 0 as both lines are perpendicular. so it will be m=0

Finding y-intercept

The y-intercept can be found using slope m=0 and point (-4,-3)

y=mx+b\\-3=0(-4)+b\\b=-3

So, y-intercept b is b=-3

The equation of required line having slope m=0 and y-intercept b=-3 is

y=mx+b\\y=0(x)-3\\y=-3

So, required equation is: y=-3

Option D is correct.

6 0
2 years ago
A coin is biased such that it results in 2 heads in every 3 coin flips, on average. The sequence _____ is most probable for the
valentinak56 [21]

I am relatively sure the answer you are looking for is;

H H H T T H T T H H H H

3 0
3 years ago
John put $200 in an account that earns 4% simple interest every year. How much money will be in the account after 8 years ?
kifflom [539]
A year is $200 so if you add it will be $16,000 after 8 years
4 0
3 years ago
A plane of symmetry divides a solid into __________. A) two congruent solids B) three congruent solids C) unequal parts D) diffe
Cerrena [4.2K]
The best and most correct answer among the choices provided by your question is the first choice or letter A.

<span>A plane of symmetry divides a solid into two congruent solids.</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
8 0
2 years ago
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