Respuesta :

Answer:

The step to take to avoid fraction is to solve for y in equation 2

Step-by-step explanation:

Given

-9x+ 4y =- 10

-9x+ 3y = 3

Required:

Step for solving using substitution (avoiding fraction)

Let -9x+ 4y =- 10  represent equation 1

and -9x+ 3y = 3 represent equation 2

The following points are to be noted

  • Solving for x or y in equation 1 will definitely lead to having fractions
  • Solving for x in equation 2 will also lead to having fractions

Having said that, the step to take to avoid fraction is to solve for y in equation 2

Check

[tex]-9x+ 3y = 3[/tex]

Add 9x to both sides

[tex]9x-9x+ 3y = 3 + 9x[/tex]

[tex]3y = 3 + 9x[/tex]

Divide through by 3

[tex]\frac{3y}{3} = \frac{3 + 9x}{3}[/tex]

[tex]y = \frac{3 + 9x}{3}[/tex]

Split fraction

[tex]y = \frac{3}{3} + \frac{9x}{3}[/tex]

[tex]y = 1 + 3x[/tex]

At the point, the expression of y can then be substituted in equation 1

Answer: solve for y in the second equation

Step-by-step explanation:

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