fabianomwale772 fabianomwale772
  • 26-03-2021
  • Mathematics
contestada

if (x/3+1,y-2/3)is equal to (5/3,1/2) find the value of x and y​

Respuesta :

joaobezerra joaobezerra
  • 31-03-2021

Answer:

The value of x is 2.

The value of y is [tex]\frac{7}{6}[/tex]

Step-by-step explanation:

x:

We have that:

[tex]\frac{x}{3} + 1 = \frac{5}{3}[/tex]

Multiplying everything by 3

[tex]x + 3 = 5[/tex]

[tex]x = 2[/tex]

The value of x is 2.

y:

We have that:

[tex]y - \frac{2}{3} = \frac{1}{2}[/tex]

Least common multiple between 3 and 2 is 6, which means that we multiply everything by 6.

[tex]6y - 4 = 3[/tex]

[tex]6y = 7[/tex]

[tex]y = \frac{7}{6}[/tex]

The value of y is [tex]\frac{7}{6}[/tex]

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