Of : 1/5 x + 1/8 y = 1 1/2 x − 1/3 y = 1

x = 75 and y = -72

Step-by-step explanation:

It is given that,

1/5 x + 1/8 y = 1   (1)

1/2 x − 1/3 y = 1  (2)

To find the solutions of the system of equations

Step 1: eq(1) * 5 ⇒

x + 5/8y = 5  (3)

Step 2:  eq(2) * 2 ⇒

x - 2/3y = 2  (4)

Step 3: eq(3) - eq(4) ⇒

x + 5/8y = 5  (3)

x - 2/3y = 2  (4)

0 +(5/8 - 2/3)y = 3

 -1/24 y = 3

y = -24*3 = -72

Step 4: Substitute the value of y in eq(1)

1/5 x + 1/8 y = 1   (1)

1/5 x + 1/8 (-72) = 1   (1)

1/5 x  - 24 = 1

1/5 x = 25

x = 5*25 = 75

Therefor x = 75 and y = -72

Step-by-step explanation:

I am guessing that your two equations are

(1) ⅕x + ⅛y = 1

(2) ½x - ⅓ y = 1

To get rid of fractions, I would multiply each equation by the least common multiple of its denominators.

We can solve this system of equations by the method of elimination.

The diagram below shows the graphs of your two functions intersecting at (3.548, 2.323). These are the decimal equivalents of your fractional coordinates.

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