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REY [17]
3 years ago
13

Solve the system of equations by multiplying and adding. Enter the solution as an ordered pair.

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

(x, y) = (- 3, 4)

Step-by-step explanation:

Given the 2 equations

5x + 2y = - 7 → (1)

4x - y = - 16 → (2)

multiply all terms in (2) by 2

8x - 2y = - 32 → (3)

Add (1) and (3) term by term

(5x + 8x) + (2y - 2y) = (- 7 - 32)

13x = - 39 ( divide both sides by 13 )

x = - 3

Substitute x = - 3 into either (1) or (2) and solve for y

substituting in (1) gives

(5 × - 3) + 2y = - 7

- 15 + 2y = - 7 ( add 15 to both sides )

2y = 8 ( divide both sides by 2 )

y = 4

solution is (- 3, 4 )


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Rotation 180 counterclockwise around the origin of the point (-3,-7)
yaroslaw [1]

Answer: (3 , 7)

Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.

8 0
2 years ago
30 POINTS PLEASE HELP;)
AveGali [126]

Answer:

Lorsque vous montez dans la voiture et sortez de l'aéroport, tournez à gauche. Lorsque vous arrivez à la bifurcation de la route, tournez à droite. Ensuite, vous continuerez à avancer. Vous devrez faire deux virages à gauche. À droite, vous verrez ma maison.

Step-by-step explanation: I had a similar project so I used mine as an example and I rewrote it. Hope this helps

Translation : When you first get in the car and exit the airport turn left. When you get to the fork in the road turn right. Then you will keep driving forward. You will have to make two left turns. To the right you will see my house.

Feel free to change up some words if you need to

5 0
3 years ago
Twelve decreased by twice a number is -8. Find the number
drek231 [11]
<h2>Solution :- </h2>

Let the number be "x" , then according to the question :

• 2x - 12 = -8

Further solving

→ 2x = -8 + 12

→ 2x = 4 .

→ x = 2

8 0
3 years ago
Read 2 more answers
Find the product: (30 gallons 3 quarts 1 pint) × 5
maks197457 [2]

Answer:

Please mark me brainliest!!!!!!!

Step-by-step explanation:

Step 1:

Multiply each by 5, then make any necessary conversions to the other units of measurement (ie. gallon, quart, etc)

30 gallons x 5= 150 gallons

3 quarts x 5= 15 quarts

1 pint x 5= 5 pints

Step 2:

CONVERSION

1 gallon=4 quarts

1 gallon= 8 pints

1 quart= 2 pints

GALLONS: 150 gallons

QUARTS:

=15 quarts ÷ # quarts in gallon

=15/4= 3 gallons 3 quarts

PINTS:

=5 pints ÷ # pints in quart

=5/2= 2 quarts 1 pints

TOTALS:

150 gallons

3 gallons 3 quarts

2 quarts 1 pint

Since we have 5 additional quarts, and we know that 4 quarts=1 gallon, we need to convert again.

=3 quarts + 2 quarts

=5 quarts ÷ # quarts in gallon

=5/4 = 1 gallon 1 quart

FINAL TOTALS

GALLONS: 150 + 3 + 1= 154 gallons

QUARTS: 1 quart

PINTS: 1 pints

4 0
2 years ago
The equation v(x)=32500(0.92)^x how much more is the truck worth after two years than after three years
Lyrx [107]

Answer:

the difference:  $2,192.64

Step-by-step explanation:

After 1 year, the truck has lost 8% of its value:  v(x) = $32,500(0.92)^1, or

$29,900.

After 2 years, v(x) = $32,500(0.92)^2, or $27,500.  Finally, after 3 years,

v(x) = $32,500(0.92)^3 = $25,307.36.

Subtracting $25,307.36 (the value after 3 years) from $27,500 (the value after 2 years) yields the difference:  $2,192.64

6 0
3 years ago
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