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nasty-shy [4]
3 years ago
13

Solve the system of equations y = 6x -7 y = 3x + 11

Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
If they both are equal to y, they must be equal to each other therefore,
6x-7 = 3x+11
3x = 18
x=6
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Simplify each only using positive exponents:<br> 2x^-3 • 4x^2<br> 2x^4 • 4x^-3<br> 2x^3y^-3 • 2x
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<h2>Answer:</h2>

\frac{2}{x}

\frac{x}{2}

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<h2>Step-by-step explanation:</h2>

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To solve this using only positive exponents, follow these steps:

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2x⁻³ . 4x²

ii. The position of the term with negative exponent is changed from denominator to numerator or numerator to denominator depending on its initial position. If it is at the numerator, it is moved to the denominator. If otherwise it is at the denominator, it is moved to the numerator. When this is done, the negative exponent is changed to positive.

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\frac{1}{2x^3} . 4x^2

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Therefore, 2x⁻³ . 4x² = \frac{2}{x}

b. 2x^4 • 4x^-3

i. Rewrite as follows;

2x⁴ . 4x⁻³

ii. The second term has a negative exponent, therefore swap its position and change the negative exponent to a positive one.

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iii. Now solve by cancelling out common terms in the numerator and denominator. So we have;

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i. Rewrite as follows;

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2x^3.\frac{1}{y^3} .2x

iii. Now solve;

\frac{4x^4}{y^3}

Therefore, 2x³y⁻³ . 2x = \frac{4x^4}{y^3}

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