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BabaBlast [244]
3 years ago
6

The linear combination method is applied to a system of equations:

Mathematics
2 answers:
Ulleksa [173]3 years ago
5 0

Answer:

There are infinitely many solutions to the system.

Step-by-step explanation:

d

vaieri [72.5K]3 years ago
5 0

Answer:

Infinitely many solutions

Step-by-step explanation:

We are given that

4x+10y=12...(1)

10x+25y=30....(2)

We have to find that 0=0 what indicates about the solution of the system

Equation (1) divided by 2 and equation (2) divided by-5 then we get

2x+5y=6.....(3)

-2x-5y=-6...(4)

Adding equation  (3) and (4) then we get

0=0

We know that

0=0

When we get these type of condition in which 0=0

Then , the solution of the system are infinite.

Hence, 0=0 indicates that solution of the system are infinite.

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Angela and Michelle shared some money in the ratio 4: 9 then Angela gave Daniel half her share.Michelle gave Daniel a third of h
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Using a system of equations, it is found that £52 was originally shared.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: Angela's share.
  • Variable y: Michelle's share.
  • Variable z: Daniel's share.

Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:

  • x = \frac{4t}{13}.
  • y = \frac{9t}{13}

Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:

\frac{x}{2} + \frac{y}{3} = 20

\frac{4t}{26} + \frac{9t}{39} = 20

\frac{12t + 18t}{78} = 20

30t = 20 x 78

t = 20 x 78/30

t = £52.

More can be learned about a system of equations at brainly.com/question/24342899

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Step-by-step explanation:

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