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ozzi
3 years ago
8

What is the value of y in the solution to the following system of equations?

Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:

Option D is the correct answer.

Step-by-step explanation:

The equations are:

5x - 3y = -11     Eqn 1

2x - 6y = -14     Eqn 2

We have to find the value of y so we will eliminate x.

Multiplying Eqn 1 by 2

2(5x-3y=-11)

10x-6y=-22     Eqn 3

Multiplying Eqn 2 by 5

5(2x-6y=-14)

10x-30y=-70     Eqn 4

Subtracting Eqn 4 from Eqn 3

(10x-6y)-(10x-30y)= -22-(-70)

10x-6y-10x+30y = -22 + 70

24y = 48

\frac{24y}{24}=\frac{48}{24}\\y=2

Therefore,

Option D is the correct answer.

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What is the answer?<br><br> Y= -x-4 <br> Y=x
Mashcka [7]
Do you mean like this?

Y = -x - 4
Y = x

x = -x - 4
2x = -4
x = -2

Therefore y = -2
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In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad
marshall27 [118]
Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.

Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x

Formula
s_h / s_s = x / t_s

Substitute and solve.
4/2 = x / 18  Cross multiply
4*18 = 2 * x
72 = 2x        Divide by 2
72/2 = x       
x = 36

The height of the tree is 36 feet.     
6 0
3 years ago
(3m±4/5n)2<br>solve this question<br>​
sukhopar [10]

Answer:

(3m-4/5)2  

Final result :

 (15m - 4)2

 ——————————

     52    

Step by step solution :

Step  1  :

           4

Simplify   —

           5

Equation at the end of step  1  :

        4

 (3m -  —)2

        5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          3m     3m • 5

    3m =  ——  =  ——————

          1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m • 5 - (4)     15m - 4

————————————  =  ———————

     5              5    

Equation at the end of step  2  :

 (15m - 4)

(—————————)2

     5    

Step  3  :

Final result :

 (15m - 4)2

 ———

     52    

Step-by-step explanation:

5 0
3 years ago
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