SOLUTION: Consider the system of equations 2x + 3y = −5 −4x − 6y = 10 (a) Find a single point (x, y) which is a solution to this equation (b) (Write down the homogeneous system of

Question 1200082: Consider the system of equations
2x + 3y = −5
−4x − 6y = 10
(a) Find a single point (x, y) which is a solution to this equation
(b) (Write down the homogeneous system of equations associated with the system above. Then solve the homogeneous system.
(c) Add your answers to the two parts above and plug it in the system to verify that this is the general solution
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
a) If you multiply the first equation by -2, you get the second equation so they share an infinite number of solutions.
Pick one. Set and solve for
.
Call that
.
.
.
b)

Again pick a point, x, and solve for y.

Solve for .
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