Systems of equations by elimination

(x, y) = (2, 1)

Step-by-step explanation:

given the 2 equations

2y - 3x = - 4 → (1)

6y + x = 8 → (2)

multiplying (2) by 3 allows the x terms to be eliminated

18y + 3x = 24 → (3)

add (1) and (3) term by term

(2y + 18y) + (- 3x + 3x) = (-4 + 24)

20y + 0 = 20 ( divide both sides by 20 )

y = 1

substitute y = 1 into either of the equations and solve for x

using (2), then

6 + x = 8 ( subtract 6 from both sides )

x = 2

solution (2, 1)

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

answer: 180 degrees clockwise

step-by-step explanation: