In division, exponents with the same base are subtracted.
example:
$\frac{x^4}{x^2} = x^2 \\ \\ \frac{ x^{3} y^{2} }{ x^{6} y} = \frac{y}{ x^{3} } \\ \\ Negative-exponents \\ \\ x^{-2} = \frac{1}{ x^{2} }$

5 0

3 years ago

Solve this system using the linear combination method. Show your work and explain each step. 2x + y = 8 x − y = 4

Furkat [3]

Answer:

Step-by-step explanation:

Subtract 2x

from both sides of the equation.

y=8−2x

x−y=2

Replace all occurrences of y

in x−y=2 with 8−2x

y=8−2x

x−(8−2x)=2

Simplify the left side.

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y=8−2x

3x−8=2

Solve for x

in the second equation.

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y=8−2x

x=103

Replace all occurrences of x

in y=8−2x with 103

y=8−2(103)

x=103

Simplify 8−2(103)

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y=43

x=103

The solution to the system of equations can be represented as a point.

(103,43)

3 0

2 years ago