What is the solution to the linear equation? StartFraction 2 Over 5 EndFraction plus p equals StartFraction 4 Over 5 EndFraction plus StartFraction 3 Over 5 EndFraction p. + p = + p p = 1 p = 2 p = 8 p = 10

Respuesta :

For this case we must solve the following equation:

[tex]\frac {2} {5} + p = \frac {4} {5} + \frac {3} {5}[/tex]

Since the denominators on the right side of the equation are equal, then we add the fractions:

[tex]\frac {2} {5} + p = \frac {4 + 3} {5}\\\frac {2} {5} + p = \frac {7} {5}[/tex]

We subtract [tex]\frac {2} {5}[/tex]on both sides of the equation:

[tex]p = \frac {7} {5} - \frac {2} {5}\\p = \frac {7-2} {5}\\p = \frac {5} {5}\\p = 1[/tex]

Thus, the value of p is 1.

Answer:

[tex]p = 1[/tex]

The solution to the linear equation is; p= 1.

Solution to linear equations

The equation given in the task content is;

  • 2/5 + p = 4/5 + 3/5

On this note, By isolating the unknown variable, p, we have;

  • p = 4/5 + 3/5 -2/5

By taking the LCM, we have; p = (4+3-2)/5

  • P = 5/5

  • p = 1

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