Use the echelon method to solve the following system of two equations in two unknowns. check your answer. x+y=17 amd 9x-y=73

  y = 8

x = 9

Step-by-step explanation:

given equation,

x + y = 17     ........(1)

9 x - y = 73...........(2)

writing in matrix form

A X = B

using augamented matrix A|B

using row transformation

R₂ = R₂ - 9 R₁

now,

now

-10 y = -80

    y = 8

and

x + y = 17

x = 17 -8

x =9

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3