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3 years ago

11

Necesitoooooo ayudaaaaaaaaaaaa

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Answer:

x = 50, y = 140

Step-by-step explanation:

The angles x, 40 and 90 lie on a straight line and sum to 180° , that is

x + 40 + 90 = 180

x + 130 = 180 ( subtract 130 from both sides )

x = 50

The angle vertically opposite x is congruent to x , that is 50°

y = 90 + 50 = 140

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Step-by-step explanation:

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<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

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3. Replace the values of $y$ in equation (3) and solve for $x$

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$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

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$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

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