In need of find the solution of this system of equations -5x - y= -7 -6x + y = 7 could you also explain how to get the answer so i can figure out how to do it? : )

-5x-y =-7

Simplifying -5x + -1y = -7

Solving -5x + -1y = -7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -5x + -1y + y = -7 + y

Combine like terms: -1y + y = 0 -5x + 0 = -7 + y -5x = -7 + y

Divide each side by '-5'. x = 1.4 + -0.2y

Simplifying x = 1.4 + -0.2y

-6x+y=7

Simplifying -6x + y = 7

Solving -6x + y = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation. -6x + y + -1y = 7 + -1y

Combine like terms: y + -1y = 0 -6x + 0 = 7 + -1y -6x = 7 + -1y

Divide each side by '-6'. x = -1.166666667 + 0.1666666667y

Simplifying x = -1.166666667 + 0.1666666667y

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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