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A number with an abosolute value of 42 was divided by a number with an absolute value of 7. The quotient is -6. Write two possible numeric equations

Sagot :

A number with an absolute value of 42 was divided by a number with an absolute value of 7. The quotient is -6. Write two possible numeric equations ​

Let

x,the number

y, the other number

[tex]\begin{gathered} \left|x\right|=42 \\ \left|y\right|=7 \\ \frac{\left|x\right|}{\left|y\right|}=-6 \end{gathered}[/tex][tex]\begin{gathered} \left|x\right|=x,\text{ if x}\ge0\text{ and , } \\ \left|x\right|=-x\text{ if x}<0 \\ and \\ \left|y\right|=\text{ y if y }\ge0 \\ \left|y\right|=-\text{y if y}<0 \end{gathered}[/tex]

step 2, write the equations

[tex]\begin{gathered} \frac{x}{y}=-6\text{, if x}>0\text{ and y}<0 \\ \frac{x}{y}=\text{ -6, if x}<0\text{ and y}>0 \end{gathered}[/tex]

and that's all, it is the answer