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Grace [21]
4 years ago
5

Solve the following system of equations using the elimination method. 2x + 4y = 10 –2x + y = –15

Mathematics
2 answers:
Vera_Pavlovna [14]4 years ago
8 0

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )

pychu [463]4 years ago
6 0

Answer:

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )

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John went to the deli on his lunch hour he bought 1.3 lbs of roast beef and 0.6 lbs of cheese both were on sale for $3.99 per po
aleksley [76]

Johns total at the deli is $ 7.58

<u>Solution:</u>

Given, John went to the deli on his lunch hour he bought 1.3 lbs of roast beef and 0.6 lbs of cheese both were on sale for $3.99 per pound.  

We have to find the nearest cent how much was Johns total at the deli

Now, we know that, total cost = cost of beef + cost of cheese

Total cost = amount of beef bought \times cost of beef per pound + amount of cheese bought \times cost of cheese per pound  

Total amount = 1.3 \times 3.99 + 0.6 \times 3.99

Total amount = 3.99(1.3 + 0.6) = 3.99 x 1.9

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3 years ago
Calculator
rodikova [14]

Solution:

<u>First, let's find the surface area of the triangular prism.</u>

  • 2(1/2 x 8 x 12) + 2(10 x 6) + (12 x 6) = Surface area of triangular prism
  • => (8 x 12) + 2(60) + (72) = Surface area of triangular prism
  • => (96) + 120 + 72 = Surface area of triangular prism
  • => 96 + 192 = Surface area of triangular prism
  • => 288 ft² = Surface area of triangular prism

<u>Now, let's find the surface area of the rectangular prism.</u>

  • 2(18 x 9) + 2(6 x 9) + 2(6 x 18)
  • => 2(162) + 2(54) + 2(108)
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<u>Now, add both the surface areas to find the surface area of the figure.</u>

  • 288 + 648 = Surface area of figure
  • => 936 ft² = Surface area of figure

The surface area of the figure is 936 ft².

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For the function -2x²+x+1 find f(3)
nexus9112 [7]

Answer:

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Step-by-step explanation:

Plug 3 in for x

-2 (3)² + 3 + 1

-2 (9) + 3 + 1

-18 + 3 + 1

-14

3 0
3 years ago
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