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1 year ago

Solve each system. (1/2)x + (2/3)y= 1 , (3/4)x - (1/3)y = 2

Mathematics

1 answer:

NeTakaya1 year ago

3 0

The solution of the given system of equations is (3//2, -3/8)

We can solve a system of equations using:

- graphical method

- elimination method

- substitution method

The given system of equations:

(1/2)x + (2/3)y= 1 ......... (1)

(3/4)x - (1/3)y = 2 ..........(2)

Multiply equation (1) by 6

3x + 4y = 6 ..... (3)

Multiply equation (2) by 12

9x - 4y = 24 ...... (4)

Add equation (3) and (4)

3x + 4y = 6

9x - 4y = 24 +

12x = 30

x = 30/12 = 5/2

Substitute x = 5/2 into equation (3)

3x + 4y = 6

3. (5/2) + 4y = 6

15/2 +4y = 6

4y = (12 - 15)/2 = -3/2

y = -3/8

The solution is (3/2, -3/8)

Learn more about how to solve system of equations here:

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3 years ago

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3 years ago

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3 years ago

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