The number of solutions 2x+3y=4, x-y=3, 3x+5y=6 is​

one solution

Step-by-step explanation:

The number of solutions 2x+3y=4, x-y=3, 3x+5y=6 is​

Solving two of the equations simultaneously

2x+3y=4,  ... 1 *1

x-y=3 ... 2 * 2

2x+3y = 4

2x-2y = 6

subtract

3y+2y = 4+6

5y = 10

y = 10/5

y = 2

Recall that x - y = 3

x - 2 = 3

x = 3+2

x = 5

Hence the solution has just one solution

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints