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3 years ago

14

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

2 answers:

denis-greek [22]3 years ago

8 0

U can use elimination and multiply all the terms in the top expression to get 3x-3y = -4, or 4x = -4, so x = -1. plug it in to find y if needed

kaheart [24]3 years ago

6 0

Answer:

the answer is B, x= -1

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Solve each system of equation by substitution y=-x+5 x+2y=2

Likurg_2 [28]

Answer:

$x = 8$

$y = -3$

Step-by-step explanation:

Given :

$y = -x + 5$ ...................... equation 1

$x + 2y = 2$ ........................ equation 2

solving the system of linear equation by substitution method , substitute equation 1 into equation 2 , that is

$x + 2(-x+5) = 2$

$x - 2x + 10 = 2$

$-x + 10 = 2$

collect the like terms

$10 - 2 = x$

therefore :

$x = 8$

substitute $x = 8$ into equation 1 to find the value of y , that is

$y = -8 + 5$

$y = -3$

Therefore :

$x = 8$

$y = -3$

3 0

3 years ago

If there are approximately 1.8 million cars in Vancouver and if each car travels an average of 17,500 kilometres in a year, how

Goryan [66]

Rates are used to measure a quantity over another.

<em>The 1.8 million cars use </em> $1.85 \times 10^{10}$ <em> liters each year</em>

Given

$Cars = 1.8\ million$

$d = 17500km$ --- distance

$r = 40miles/gallon$

First, we calculate the number (n) of gallons used by each car

$r = \frac{d}{n}$

Solve for n

$n = \frac{d}{r}$

So, we have:

$n = \frac{17500km}{40miles/gallon}$

$n = \frac{17500km}{40miles}gallon$

Convert miles to kilometers

$n = \frac{17500km}{40km \times 1.60934}gallon$

$n = \frac{17500km}{64.3738km}gallon$

$n = 271.85\ gallon$

The number of gallons (N), used by all the cars is:

$N = n \times cars$

$N = 271.85 \times 1.8\ million$

$N = 489330000$

Convert to liters

$N = 489330000 \times 3.78541L$

$N = 1852314675.3L$

In scientific notation to 2 decimal places, we have:

$N = 1.85 \times 10^{10}L$

<em>Hence, the number of liters used is </em> $1.85 \times 10^{10}$ <em />

Read more about distance and rates at:

brainly.com/question/24659604

4 0

2 years ago

The sink in Josh’s art studio measures 16 inches by 15 inches by 6 inches. A second sink used just for paint brushes has a simil

marin [14]

Linear scale factor =1/2
volume scale factor=(1/2)³=1/8
the volume of the larger figure will be:
volume=length*width*height
volume=16×15×6
volume=1440 cubic inches
thus volume of the small sink will be:
1/8×1440
=180 cubic inches

3 0

2 years ago

Can someone help me with question 8??? I know how to solve it but I’m just making sure my math is right before I write it down

Nostrana [21]

Ion sorry I don’t know I’m tryna ask a question

7 0

2 years ago

Read 2 more answers

Please help figure out I will give brainliest!

noname [10]

Answer:

40 student 110 adult

this is using desmos

but to smash the equation you can go like basically we have to cancel out each variable to solve for the other

3x + 8y = 1000

x + y < =150

-3(x + y <= 150)

-3x -3y = -450

3x + 8y = 1000

5y = 550

y= 110

3x + 8 y = 1000

-8(x+y<=150) = -8x - 8y <= -1200

-5x = -200

$\frac{ - 5x}{ - 5 } = x$

$\frac{ - 200}{ - 5} = 40$

x= 40

40 kids 110 adults

7 0

2 years ago