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2 years ago

Solve this system using the linear combination method. Show your work and explain each step. 2x + y = 8 x − y = 4

Mathematics

1 answer:

Furkat [3]2 years ago

3 0

Answer:

Step-by-step explanation:

Subtract 2x

from both sides of the equation.

y=8−2x

x−y=2

Replace all occurrences of y

in x−y=2 with 8−2x

y=8−2x

x−(8−2x)=2

Simplify the left side.

Tap for more steps...

y=8−2x

3x−8=2

Solve for x

in the second equation.

Tap for more steps...

y=8−2x

x=103

Replace all occurrences of x

in y=8−2x with 103

y=8−2(103)

x=103

Simplify 8−2(103)

Tap for more steps...

y=43

x=103

The solution to the system of equations can be represented as a point.

(103,43)

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Geometry, I answered the one before this but not sure about this one anyone know?

Elan Coil [88]

Answer:

QV = 36 UNITS

Step-by-step explanation:

Centroid of a triangle divides the median in the ratio 2 : 1.

QU is the median and V is Centroid. Therefore,

QV : VU = 2 : 1

Let QV = 2x & VU = x

QV + VU = QU

2x + x = 54

3x = 54

x = 54/3

x = 18

QV = 2x = 2*18 = 36

4 0

2 years ago

The previous balance of Sam's saving account was $1345.67. He makes thevfollowing transactions: deposits, $228.48, $74.36; withd

mylen [45]

Answer:

Step-by-step explanation:

2192

3 0

2 years ago

Which ordered pair is the solution to the system of equations below? 4x+3y=31 2y=22-3x (A) (4,5) (B) (5,4) (C) (6,2) (D) (7,1)

grandymaker [24]

Plug in the points x and y

5 0

2 years ago

Complete the following sentence. The slope of the graph of y = 5 x is ___

Y_Kistochka [10]

Answer:

We conclude that the slope of the graph of y = 5 x is 5.

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = 5x

comparing with the slope-intercept form of the line equation

The slope of the line = m = 5

Therefore, we conclude that the slope of the graph of y = 5 x is 5.

4 0

2 years ago

1) For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

Gelneren [198K]

Answer:

Yes, "y" varies directly with "x".

The equation is: $y=1.375x$

Step-by-step explanation:

By definition, Direct variation equations have the following form:

$y=kx$

Where "k" is the Constant of variation.

If you solve for "k", the equation is:

$k=\frac{y}{x}$

Then, given the table provided in the exercise, you can know if "y" varies directly with "x" by finding the quotient of the correspoding values of "x" and "y":

- Dividing $y=11$ by $x=8$ you get:

$\frac{11}{8}=1.375$

- Divide $y=22$ by $x=16$ :

$\frac{22}{16}=1.375$

- Dividing $y=33$ by $x=24$ :

$\frac{33}{24}=1.375$

Since the quotient is constant, then "y" varies directly with "x" and the the Constant of variation is:

$k=1.375$

Therefore, the equation for the Direct variation is:

$y=1.375x$

8 0

3 years ago