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bezimeni [28]
3 years ago
9

X + y = 3 3x + 2y = 14

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

x = 8 , y = -5

Step-by-step explanation:

Solve the following system:

{x + y = 3 | (equation 1)

3 x + 2 y = 14 | (equation 2)

Swap equation 1 with equation 2:

{3 x + 2 y = 14 | (equation 1)

x + y = 3 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x + 2 y = 14 | (equation 1)

0 x+y/3 = -5/3 | (equation 2)

Multiply equation 2 by 3:

{3 x + 2 y = 14 | (equation 1)

0 x+y = -5 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = 24 | (equation 1)

0 x+y = -5 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 8 | (equation 1)

0 x+y = -5 | (equation 2)

Collect results:

Answer: {x = 8 , y = -5

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your baseball team has won 6 games and lost 4 games. if the team does not lose any more games, how many games must the team win
puteri [66]

Answer:

<em></em>

<em>The team must win 2 games to have a win : loss ratio o 2.</em>

Step-by-step explanation:

  • <u>Ratio win : loss, r</u>:

       r = total wins / total losses

       

  • <u>Total wins, Tw</u>:

        Call n the number of new wins:

        Tw =number of wins until so far + number of new win = 6 + n

  • <u>Total losses, Tl</u>:

        Tl = number of losses so far + number of new losses = 4 + 0 = 4

  • <u>Target ratio</u>:

        r = 2 ⇒ Tw / Tl = (6 + n) / 4 = 2

Solve for n:

  • (6 + n ) = 4 × 2
  • 6 + n = 8
  • n = 8 - 6
  • n = 2

Hence,<em> the team must win 6 more games.</em>

  • <u>Verification</u>: (6 + 2 ) / 4 = 8 / 4 = 2, which is the target ratio.

8 0
3 years ago
Shawn is coasting down a 500 \text{ cm}500 cm500, start text, space, c, m, end text long ramp on his inline skates. The wheels o
mrs_skeptik [129]

Answer:

it is 500

Step-by-step explanation:

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5 0
3 years ago
The temperature is 3C at sunrise. By noon ,the temperature changes by 5C. What could be the temperature at noon?
kaheart [24]

Answer:

it could either be 8C or -2C

Step-by-step explanation:

7 0
3 years ago
Simplify the expression (x^3- 5x^2 + 7x - 12) ÷ (x – 4) using long division​
Kisachek [45]

Answer:

{x}^{2} - x + 3

Step-by-step explanation:

Instead, since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -cgives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

_______________

1 −1 3 0 → {x}^{2} - x + 3

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an {x}^{2}, the −1 [x] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of {x}^{2} - x + 3.

I am joyous to assist you anytime.

5 0
3 years ago
sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it
Vikki [24]
Congruent= the same shape and size.

area of the rectangle before it is divided=8*(area congruent rectangle)
area of the rectangle before it is dividide=8*(5 cm²)=40 cm²

Area of the rectangle before it is dividide=40 cm²
5 0
3 years ago
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