What is the solution to the system of equations below? X+ 3y = 15 and 4x+2y= 30

O (6,3)

O (3,6).

O (7,-6)

O (-6, 7)

6,3

Step-by-step explanation:

given equtions are

x+3y=15(1)

4x+2y=30(2)

multiplying (1) by 4

on solving, 4x+12y=60(3)

substracting eqution (3) and (2)

4x+12y-(4x+2y)=60-30

⇒10y=30

on solving,

y=3

substituting the value of y in equation (1)

x+3(3)=15

on solving,

x=6

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .

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)