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jeyben [28]
3 years ago
5

Solve the system of equations 3x = 84 - 2y 9x = 8y - 24

Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

Answer:

3x = 84 - 2y -  -  - (i) \\ 9x = 8y - 24 -  -  -  - (ii) \\ from \: (ii) \\ 3(3x) = 8y - 24 \\ but \: from \: (i) \:  \: 3x = 84 - 2y \\ hence \: put \: (i) \: in \: (ii) \\ 3(84 - 2y) = 8y - 24 \\ 252 - 6y = 8y - 24 \\ 276 = 14y \\ y =  \frac{138}{7}  \\ x =  \frac{104}{7}

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option-A:

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Firstly, we will find slope

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option-B:

points are D(11,6) and E(5,9)

x1=11,y1=6 , x2=5 , y2=9

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{9-6}{5-11}

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we can use point slope form of line

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we can plug values

y-6=-0.5(x-11)

y=\frac{-1}{2}x+\frac{23}{2}...........Answer

option-C:

points are F(-7,12) and G(3,-8)

x1=-7,y1=12 , x2=3 , y2=-8

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

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we can use point slope form of line

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option-D:

points are H(4,4) and I(8,9)

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Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{9-4}{8-4}

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option-E:

points are J(7,2) and K(-9,8)

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m=\frac{y_2-y_1}{x_2-x_1}

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option-F:

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we can use point slope form of line

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