Question

Solve the equations for the given variable. Then place the equations in the table under the correct solution

Answer 1

Placing the equations under the correct solution, we get

x = 3                                      x ≠ 3

-14x = -42                              -5 + x = -9

$-\frac{3}{5} +x = \frac{12}{5}$                          $\frac{x}{3} =9$

$\frac{x}{4} =\frac{6}{8}$                                    

x -5 = -2            

Solving Linear Equations

From the question, we are to place the equations under the correct solution

To do this, we will solve the equations one after the other

• -14x = -42

x = -42/-14

x = 3

• -5 + x = -9

x = -9 + 5

x = -4

∴ x ≠ 3

• $-\frac{3}{5} +x = \frac{12}{5}$

$x = \frac{12}{5} +\frac{3}{5}$

$x = \frac{12+3}{5}$

$x = \frac{15}{5}$

x = 3

• $\frac{x}{4} =\frac{6}{8}$

$x=\frac{6\times 4}{8}$

$x=\frac{24}{8}$

x = 3

• $\frac{x}{3} =9$

x = 3 × 9

x = 27

∴ x ≠ 3

• x -5 = -2

x = -2 + 5

x = 3

Hence, placing the equations under the correct solution, we get

x = 3                                      x ≠ 3

-14x = -42                              -5 + x = -9

$-\frac{3}{5} +x = \frac{12}{5}$                          $\frac{x}{3} =9$

$\frac{x}{4} =\frac{6}{8}$                                    

x -5 = -2            

Learn more on Solving linear equations here: brainly.com/question/13204213

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