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abruzzese [7]
2 years ago
13

Solve the following ​

Mathematics
1 answer:
Tomtit [17]2 years ago
5 0

Answer:

x=2, \ y=1

Step-by-step explanation:

\displaystyle \left \{ {{\text{Equation I:} \ \ 2x+y =5} \atop {\text{ Equation II:} \ \ 3x-2y=4}} \right.

Multiply \text{Equation I} by 2.

  • 2 \ \Big{[}2x+y=5\Big{]}  
  • 4x+2y=10

Now we have this system of equations:

  • \displaystyle \left \{ {{4x+2y =10} \atop {3x-2y=4}} \right.

We can add the equations together to cancel out y.

  • 7x=14
  • x=2

Substitute x = 2 into the first equation and solve for y.

  • 2(2)+y=5
  • 4+y=5
  • y=1

The solution to this system of equations is:

  • x=2, \ y=1
  • or (2, \ 1)
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Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

x + y = 11 - - - - - - - - -1

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Substituting x = 11 - y into equation 1, it becomes

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