All categories

2 years ago

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

8 0

Answer: B. (2,1)

Step-by-step explanation:

The given system of equation :

$y=2x-3...........................(1)\\\\y=-2x+5.............................(2)$

Adding equation (1) and (2), we get

$2y=-3+5\\\\\Rightarrow\ 2y=2\\\\\Rightarrow\ y=1$

Substitute the value of y in the first equation , we get

$1=2x-3\\\\\Rightarrow\ 2x=1+3\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2$

Therefore, the solution to the given system of equations = (2,1)

Nataly [62]2 years ago

7 0

Answer:

B (2,1)

Step-by-step explanation:

You might be interested in

TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro). At the beginning of a trip,

Natalija [7]

Answer:

Sophie will get $56 in exchange.

Step-by-step explanation:

Given:

TravelEz sells dollars at a rate of ($1.40)/(1 euro).

And dollars they buy at a rate of ($1.80)/(1 euro).

Sophie exchanged $540 to get 300 euros, at the beginning of trip.

And, she is left with 40 euros at the end of trip.

So exchanges the euros back to dollars.

Now, to find the dollars Sophie will get in exchange.

Let the dollars Sophie will get in exchange be $x.$

The rate at which TravelEz sells dollars = $\frac{\$1.40}{1\ euro}$

Number of euros Sophie is left with = $40.$

Now, to get the dollars she will get we set proportion:

As, $\$1.40$ is equivalent $1\ euro$ .

So, $x$ is equivalent to $40\ euros$ .

Thus,

$\frac{1.40}{1} =\frac{x}{40}$

By cross multiplying we get:

$56=x$

$x=\$56.$

Therefore, Sophie will get $56 in exchange.

5 0

2 years ago

Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.

e-lub [12.9K]

Your answer is c, 638.54 − 159.50 + x ≥ 500; x ≥ $20.96

5 0

2 years ago

Read 2 more answers

A one story home has a total square footage of 1,200. If 900sq ft of the home has a basement, and 300 sq ft has a slab foundatio

anastassius [24]

Answer:

it has 1200

Step-by-step explanation:

because 900+300=1200

8 0

1 year ago

Read 2 more answers

Korey’s comic book store has been up and running for 4 years. Korey feels that his store has been successful and is considering

Inessa05 [86]

Year Net Profit
1 $14,250.00
2 $15,390.00
3 $16,621.20
4 $17,950.902

We need to get the increase of the net profit of the current year from the previous year.

Percentage increase = (Current year - Previous Year)/ Previous Year * 100%

Year 2: (15,390 - 14, 250) / 14,250 * 100% = 0.08 * 100% = 8%
Year 3: (16,621.20 - 15,390) / 15,390 * 100% = 0.08 * 100% = 8%
Year 4: (17,950.90 - 16,621.20) / 16,621.20 * 100% = 0.08 * 100% = 8%

Every year the net income increases by 8%. So, the net income in Year 5 will be:

17,950.90 x 1.08 = 19,386.97 Choice D.

8 0

2 years ago

Read 2 more answers

Which is more economical: purchasing the economy size of a detergent at 7 kilograms for $7.15 or purchasing the regular size a

Kruka [31]

Regular size saves $0.0003 per gram I think
someone pls fact check me

8 0

2 years ago