Solve for p.
80 + 10 = 5p - 8

Question

01-10-2021
Mathematics

Answered

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Solve for p.
80 + 10 = 5p - 8

Sagot :

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Solve the following system of equations algebraically for all values of x and y. y = x2 + 2x - 8

pranit3126 pranit3126 · Answer 1 · 2021-10-01T13:14:09-04:00

Answer:

80+10=5p-8

[tex]\mathrm{Switch\:sides}[/tex]

[tex]5p-8=80+10[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:80+10=90[/tex]

[tex]5p-8=90[/tex]

[tex]\mathrm{Add\:}8\mathrm{\:to\:both\:sides}[/tex]

[tex]5p-8+8=90+8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5p=98[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

[tex]\frac{5p}{5}=\frac{98}{5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]p=\frac{98}{5}[/tex]

Hope it helps. Please mark me as brainliest :) ;) ^-^

Step-by-step explanation:

Amphitrite1040 Amphitrite1040 · Answer 2 · 2021-10-01T13:27:18-04:00

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{80 + 10 = 5p - 8}[/tex]

[tex]\large\textsf{90 = 5p - 8}[/tex]

[tex]\large\textsf{5p - 8 = 90}[/tex]

[tex]\large\text{ADD 8 to BOTH SIDES}[/tex]

[tex]\large\textsf{5p - 8 + 8 = 90 + 8}[/tex]

[tex]\large\text{CANCEL out: -8 + 8 because gives you 0}\\\\\large\text{KEEP: 90 + 8 because helps solve for the p-value}[/tex]

[tex]\large\textsf{90 + 8 = \bf 98}[/tex]

[tex]\large\text{New EQUATION: \textsf{5p = 98}}[/tex]

[tex]\large\text{DIVIDE 5 to BOTH SIDES}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{5p}{5} = \dfrac{98}{5}}}[/tex]

[tex]\large\text{Cancel out: }\rm{\dfrac{5}{5}}\large\text{ because that gives you 1}\\\\\large\text{KEEP: }\rm{\dfrac{98}{5}}\large\text{ because it gives you the value of p or the answer of p}[/tex]

[tex]\large\text{SIMPLIFY ABOVE AND YOU HAVE YOUR ANSWER OF P}[/tex]

[tex]\huge\boxed{\rm{Therefore, your\ answer: p = \dfrac{98}{5}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Sagot :

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