Respuesta :

Answer:

[tex]\frac{1}{6}[/tex]x-19

Step-by-step explanation:

[tex]\frac{2}{3}[/tex]x-9-[tex]\frac{1}{2}[/tex]x-10 = [tex]\frac{2}{3}[/tex]x-[tex]\frac{1}{2}[/tex]x-19

If you minus 9 and then minus 10, you are deducting 19 from the equation in total

[tex]\frac{2}{3}[/tex]x-[tex]\frac{1}{2}[/tex]x-19 = [tex]\frac{4}{6}[/tex]x-[tex]\frac{3}{6}[/tex]x-19

You would want to make the denominator of the fractions the same by multiplying the first fraction by 2, and the second fraction by 3 so that both denominators are 6.

[tex]\frac{4}{6}[/tex]x-[tex]\frac{3}{6}[/tex]x-19 = [tex]\frac{1}{6}[/tex]x-19

Now that their denominators are the same, you can directly do the working for the numerators (4-3=1) and keep the denominator the same. Tada!

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