Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. if the system has one solution, find the solution.

The given system of equations has only one solution

The solution is (x, y) = (-1, 0)

Solution:

Given system of equations are:

-7x - 2y = 7 ---- eqn 1

4x + 6y = -4 --- eqn 2

We have to find solution for this system of equations by substitution method

From eqn 2,

4x + 6y = -4

2x + 3y = -2

2x = -2 - 3y

--- eqn 3

Substitute eqn 3 in eqn 1

Substitute y = 0 in eqn 1

-7x -2(0) = 7

-7x = 7

Thus the solution is (x, y) = (-1, 0)

Therefore the given system of equations has only one solution

geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

14

step-by-step explanation: