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frozen [14]
3 years ago
7

Which first step for solving the given system using substitution results in an equation without fractions?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
3 0

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

-9x+ 3y = 3

Add 9x to both sides

9x-9x+ 3y = 3 + 9x

3y = 3 + 9x

Divide through by 3

\frac{3y}{3} = \frac{3 + 9x}{3}

y = \frac{3 + 9x}{3}

Split fraction

y = \frac{3}{3} + \frac{9x}{3}

y = 1 + 3x

<em>At the point, the expression of y can then be substituted in equation 1</em>

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