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kvasek [131]
3 years ago
11

The solution to the following system of linear equations lies in which quadrant? −2x + 3y = 8 4x + y = −2

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
First, let's find the solution.

-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3

4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1

y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.

The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).
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Naya [18.7K]

Answer:

8 ejercicios

Step-by-step explanation:

De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:

x+y= 45 (1)

7x-1y= 19 (2)

x= ejercicios que resolvió bien

y= ejercicios que resolvió mal

Primero, puedes despejar x en (1):

x= 45-y (3)

Segundo, debes reemplazar (3) en (2):

7(45-y)-1y=19

315-7y-1y= 19

315-8y= 19

315-19= 8y

296= 8y

y= 296/8

y= 37

Tercero, debes reemplazar el valor de y en (3) para encontrar x:

x= 45-37

x= 8

De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.

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3 years ago
742 hard boiled egg into cartons for a community farm fundraiser. Each carton holds 12 eggs.
ch4aika [34]

Answer:

I am assuming you want to know how many total cartons will be used which is about 61 cartons with a remainder of 10 eggs.

Step-by-step explanation:

To solve for this problem we have to divide 742 by 12:

742/12 = 61.833333...

This means that the "whole" number of cartons will be 61

If you want to find the remaining eggs not in decimal form, you have to mulitlpy 12 by 61 and take this number away from 742 to find the remainder:

**Note: 12 * 61 can also be written as 61 * 12

12 * 61 = 732 → 742 - 732 = 10 eggs


I hope this helps!

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