Answer:
Purple: [tex]\sf{x=28.8}[/tex]
Blue: [tex]\sf{x=4}[/tex]
Yellow: [tex]\sf{x=-8}[/tex]
Green: [tex]\sf{x=-5.2}[/tex]
Solution Steps:
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1.) [tex]\bold{\frac{x}{-7.2}=-4}[/tex]:
- Multiply both sides by −7.2:
- [tex]-7.2[/tex] × [tex]-7.2=[/tex] Cancels Out
- [tex]-4[/tex] × [tex]-7.2=28.8[/tex]
So your answer is [tex]\bold{x=28.8}[/tex].
2.) [tex]\bold{\frac{3}{2}x=6}[/tex]:
- Find the reciprocal and multiply by that on each side:
- The reciprocal is [tex]\frac{2}{3},(3*2=6,~2*3=6)[/tex]
- [tex]\frac{3}{2}[/tex] turns into [tex]\frac{2}{3}[/tex]
- [tex]6[/tex] × [tex]\frac{2}{3}=\frac{12}{3}[/tex]
- Divide the numerator by the denominator:
- [tex]12[/tex] ÷ [tex]3=4[/tex]
So your answer is [tex]\bold{x=4}[/tex].
3.) [tex]\bold{\frac{x}{2}=-4}[/tex]:
- Multiply both sides by 2:
- [tex]\frac{x}{2}[/tex] × [tex]2=x[/tex]
- [tex]-4[/tex] × [tex]2=-8[/tex]
So your answer is [tex]\bold{x=-8}[/tex].
4.) [tex]\bold{-5x=26}[/tex]:
- Divide both sides by −5:
- [tex]-5x[/tex] ÷ [tex]-5=x[/tex]
- [tex]26[/tex] ÷ [tex]-5=-5.2[/tex]
So your answer is [tex]\bold{x=-5.2}[/tex].
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