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nekit [7.7K]
3 years ago
10

Find the solution of the system of equations. – 2 – 8y = -30 2x + 8y = 36

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

x= 1.5

y= 4.125

Step-by-step explanation:

Step one:

given the two equations

-2x - 8y = -30-------1\\\\2x + 8y = 36--------2

Step two:

let us subtract the equations

-2x - 8y = -30-------1\\\\ -(2x + 8y = 36)--------2\\\\0x-16y=-66

-16y=-66\\\\16y=66

divide both sides by 16

y=66/16\\\\y=4.125

put y= 4.125 in equation 2

2x + 8(4.125)= 36\\\\2x+33=36\\\\2x=36-33\\\\2x=3\\\\x= 3/2\\\\x= 1.5

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Answer:

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Step-by-step explanation:

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In this question:

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So

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Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

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x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

x^{2} + 2x + 3 = 0

So a = 1, b = 2, c = 3

\bigtriangleup = b^{2} - 4ac = 2^{2} - 4*1*3 = -8

Sincce \bigtriangleup is negative, there are no solutions, which means that those graphs do not intersect.

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Step-by-step explanation:

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Step-by-step explanation:

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