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liraira [26]
3 years ago
12

Solve the rational equation. If an equation has no solution, so state.x+6/x=-7​

Mathematics
1 answer:
kupik [55]3 years ago
3 0

Answer:

x=−1 or x=−6

Step-by-step explanation:

Multiply all terms by x and cancel:

xx+6=−7x

x2+6=−7x(Simplify both sides of the equation)

x2+6−−7x=−7x−−7x(Subtract -7x from both sides)

x2+7x+6=0

(x+1)(x+6)=0(Factor left side of equation)

x+1=0 or x+6=0(Set factors equal to 0)

x=−1 or x=−6

Check answers. (Plug them in to make sure they work.)

x=−1(Works in original equation)

x=−6(Works in original equation)

Check out this website where i got my info. <em>https://www.mathpapa.com/algebra-calculator.html</em>

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Answer:

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Yuri [45]
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8 0
3 years ago
There are a total of 64 students in a drama club and a yearbook club .The drama club has 10 more students than the yearbook club
tatiyna

Answer:

x + y = 64

x + 10 = y

Step-by-step explanation:

Since it isn't asking for the solutions, I won't solve.

let y represent drama students, and x represent the yearbook students.

We know that  DS (drama students) plus YS (Yearbook students) equals 64 students in total. To write this mathematically you would write x(YS)+ y(DS) = 64 (Students in total) except just <em><u>x + y = 64</u></em>.

The second part of this system explains what y is.

We know that the drama club has 10 more students than yearbook students, so YS plus 10 equals the amount of DS. To write this mathematically you would write <em><u>x + 10 = y</u></em>.

Combine the two systems by writing

x + y = 64

x + 10 = y

<em>P.S. Let me know if you need the system solved.</em>

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