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3 years ago

-7+ 5Y = -37 simplify your answer as much as possible

Mathematics

1 answer:

irinina [24]3 years ago

8 0

Answer:

y = -6

Step-by-step explanation:

To simplify this equation as much as possible, we have to get the variable y by itself.

To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.

-7 + 7 + 5y = -37 + 7

The 7s cancel out on the left side because -7+7 = 0 and so we are left with,

5y = -30

Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.

5y/5 = -30/5

y = -6

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Answer :

(1) $\frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}$

(2) $\frac{1}{5x}+\frac{1}{3y}=\frac{3y+5x}{15xy}$

(3) $\frac{1}{7x}-\frac{1}{2y}=\frac{2y-7x}{14xy}$

(4) $\frac{2}{5x}+\frac{3}{7y}=\frac{6y+15x}{21xy}$

(5) $\frac{7}{11x}-\frac{1}{33y}=\frac{231y-11x}{363xy}$

(6) $\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}=\frac{7y+42y-2x}{14xy}$

Step-by-step explanation :

(1) The given expression is: $\frac{1}{x}+\frac{1}{y}$

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(2) The given expression is: $\frac{1}{5x}+\frac{1}{3y}$

$\frac{1}{5x}+\frac{1}{3y}=\frac{3y+5x}{(5x)\times (3y)}=\frac{3y+5x}{15xy}$

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(4) The given expression is: $\frac{2}{5x}+\frac{3}{7y}$

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(5) The given expression is: $\frac{7}{11x}-\frac{1}{33y}$

$\frac{7}{11x}-\frac{1}{33y}=\frac{(7\times 33y)-(1\times 11x)}{(11x)\times (33y)}=\frac{231y-11x}{363xy}$

(6) The given expression is: $\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}$

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Answer:

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