All categories

3 years ago

System by elimination 2x - y = -3 -2x - 8y = 12

Mathematics

1 answer:

topjm [15]3 years ago

7 0

Answer:

x= -2 y= -1

Step-by-step explanation:

stack the 2 equations on top of each other and add them together

the 2x and -2x cancel out and you are left with -9y=9

this gives you y= -1

you plug the y value into one of the equations:

2x - (-1) = -3

2x+1 = -3

2x= -4

x= -2

You might be interested in

If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units

rosijanka [135]

Answer:

$Volume = 12\sqrt{7}$ cubic units

Step-by-step explanation:

Volume of the square pyramid is given as ⅓*area of base*height of pyramid.

Where,

Area of base = 6*6 = 36

Height of pyramid = altitude = $\sqrt{7}$ units

Plug the values into the formula to find volume.

$Volume = \frac{1}{3}*36*\sqrt{7}$

$Volume = 12*\sqrt{7}$

$Volume = 12\sqrt{7}$ cubic units

8 0

3 years ago

Harry church borrowed 17,500.00 at 6.5% exact interest. He had to pay back a maturity value of 17,873.97 to pay off the loan. Wh

kirill [66]

Answer:the term of the loan is approximately 4 months

Step-by-step explanation:

The term of the loan means the period for which the loan was given.

We would apply the formula for simple interest which is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

P = 17500

R = 6.5%

I = total amount paid - principal

I = 17,873.97 - 17,500.00 = 373.97

Therefore

373.97 = (17500 × 6.5 × T)/100

373.97 = 1137.5T

T = 373.97/1137.5

T = 0.32 years

Converting to months, it becomes

0.32 × 12 = 3.84

Approximately 4 months.

3 0

3 years ago

Concesion tables contain ratios that can be used to convert units of length, weight, or capacity. You must multiply the

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

yard; the ratio of feet to yards is

7 0

3 years ago

The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same mea

Semmy [17]

Answer:

40,40 and 100

Step-by-step explanation:

You know the first two angles are identical, so let's call them x.

The third angle is 20 more than twice the measure of either angle, which means 2x+20.

The angles of a triangle add up to 180 degrees.

(x)+(x)+(2x+20)=180

4x+20=180

4x=160

x=40 degrees

This means the angle measures equal 40 degrees, 40 degrees, and 100 degrees.

6 0

3 years ago

The equation of the line in the graph is y= (blank) x+ (blank)

VashaNatasha [74]

Y= -1x + -1 is the answer

7 0

3 years ago

System by elimination 2x - y = -3 -2x - 8y = 12​

System by elimination 2x - y = -3 -2x - 8y = 12