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Olegator [25]
3 years ago
10

5x + 3y = -2

Mathematics
1 answer:
tamaranim1 [39]3 years ago
8 0

Answer:

x = -1 , y = 1

Step-by-step explanation:

Solve the following system:

{5 x + 3 y = -2 | (equation 1)

3 x + 2 y = -1 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x + 3 y = -2 | (equation 1)

0 x+y/5 = 1/5 | (equation 2)

Multiply equation 2 by 5:

{5 x + 3 y = -2 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{5 x+0 y = -5 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 5:

{x+0 y = -1 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = -1 , y = 1

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Marizza181 [45]
The answer would be (-5+_sqroot(-3))/2 which are answers A and F
7 0
3 years ago
Keith has $500 in a savings account at the beginning of the summer. He withdraws $25 each week for food, clothes, and movie tick
alexdok [17]

Answer:

You can put this solution on YOUR website!

the inequality is 500 - 25x >= 200

this insures that he will have at least 200 at the end of the summer.

subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x

simplify to get 300 >= 25x

divide both sides of that equation by 25 to get 300 / 25 >= x

simplify to get 12 >= x

12 >= x means x <= 12.

 

when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.

when x = 12, what is left in the account is 500 - 25 * 12 = 200.

when x = 11, what is left in the account is 500 - 25 * 11 = 225.

when x = 13, what is left in the account is 500 - 25 * 13 = 175.

the maximum number of weeks he can withdraw money from his account is 12.

Step-by-step explanation:

6 0
3 years ago
Write an equation of the line that passes through (2 -5) and is parallel to the line 2y=3x+10
andrey2020 [161]

Step-by-step explanation:

Given equation is

2y = 3x + 10

3x - 2y + 10 = 0 .....i)

Any line parallel to line I) is

3x - 2y + k = 0 ......ii)

As the line two passes through the point ( 2 , - 5 ) Now substituting the values

3 * 2 - 2 * ( - 5) + k = 0

6 + 10 + k = 0

16 + k = 0

k = - 16

Now putting the value of k in equation two

3x - 2y + 16 = 0 is the required equation.

Hope it will help :)❤

8 0
3 years ago
Find the equation of the line through the point (-2,-2) that is perpendicular to the line y=2x-1
Lerok [7]

A line perpendicular to y = 2x - 1 must have the slope -1/2 (negative reciprocal of 2).


Thus, the eq'n of the new line is y+2 = (-1/2)(x+2).

5 0
2 years ago
Is 3.232323232323....... a rational number? *
uysha [10]

Answer:

Step-by-step explanation:

A. Yes it repeats

5 0
2 years ago
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