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MArishka [77]
3 years ago
6

Write the augmented matrix for the following system of equations.

Mathematics
1 answer:
Llana [10]3 years ago
6 0
62

27

68 it’s very simple do the math
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Simplify by combining like terms: -4\left(2x-y\right)+y+5\left(x+y\right)−4(2−)++5(+) − 4 ( 2 x − y ) + y + 5 ( x + y ) ; use NO
netineya [11]

Answer:

<em>-3x+10y</em>

Step-by-step explanation:

Given the expression -4\left(2x-y\right)+y+5\left(x+y\right), we are to simplify by combining the like terms. On simplification we have;

= -4\left(2x-y\right)+y+5\left(x+y\right)

Open the parenthesis:

= -4(2x)-4(-y)+y+5(x)+5(y)\\\\= -8x+4y+y+5x+5y

Collect the like terms:

= -8x+5x+4y+y+5y

Sum up the resulting expression

= -8x+5x+4y+y+5y\\= -3x+10y

<em>Hence the required expression on simplification is -3x+10y</em>

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Complete the equation of the line through (-10,3) and (-8,-8)
Alina [70]

Answer: 2y + 11x = -104

Step-by-step explanation:

The formula for calculating equation of line given two points is :

\frac{y-y_{1}}{x-x_{1}} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

x_{1} = -10

x_{2} = -8

y_{1} = 3

y_{2} = -8

substituting the values into the formula , we have :

\frac{y-3}{x-(-10)} = \frac{-8-3}{-8-(-10)}

\frac{y - 3}{x + 10} = \frac{-11}{2}

2(y - 3 ) = -11 ( x +10 )

2y - 6 = -11x - 110

2y + 11x = -110 + 6

2y + 11x = -104

Therefore : the equation of the line in standard form is 2y + 11x = -104

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