Question

Add the following:
18x + 25y and -12x + 11y
step-by-step explanation please​

Answer 1

Step-by-step explanation:

STEPS FOR COMPLETING THE SQUARE

y+18x−81=x

2

Subtract x

2

from both sides.

y+18x−81−x

2

=0

Subtract y from both sides. Anything subtracted from zero gives its negation.

18x−81−x

2

=−y

Add 81 to both sides.

18x−x

2

=−y+81

Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form x

2

+bx=c.

−x

2

+18x=81−y

Divide both sides by −1.

−1

−x

2

+18x

=

−1

81−y

Dividing by −1 undoes the multiplication by −1.

x

2

+

−1

18

x=

−1

81−y

Divide 18 by −1.

x

2

−18x=

−1

81−y

Divide −y+81 by −1.

x

2

−18x=y−81

Divide −18, the coefficient of the x term, by 2 to get −9. Then add the square of −9 to both sides of the equation. This step makes the left hand side of the equation a perfect square.

x

2

−18x+(−9)

2

=y−81+(−9)

2

Square −9.

x

2

−18x+81=y−81+81

Add y−81 to 81.

x

2

−18x+81=y

Factor x

2

−18x+81. In general, when x

2

+bx+c is a perfect square, it can always be factored as (x+

2

b

)

2

.

(x−9)

2

=y

Take the square root of both sides of the equation.

(x−9)

2

=

y

Simplify.

x−9=

y

x−9=−

y

Add 9 to both sides of the equation.

x=

y

+9

x=−

y

+9

Answer 2

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The Question is Give below 

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The Answer in Attachment

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