The system of equations below has no solution. 2/3x+5/2y=15 4x+15y=12 which equation could represent a linear combination of the system? a) 4/3x=42 b)0=26 c)15/2y=33 d)0=0

A lnear combination of a system of equations can be obtained by adding/subtracting a multiple of the equations of the of the system.

Given the system of equations


Now multiplying equation (1) by 6 and equation (2) by 1, we have:


Subtracting equation (4) from equation (3) gives:


Therefore, a system of linear equation that has no solution results on two unequal numbers in both sides of the equation.
Therefore, the equation that could represent a linear combination of the system is 0 = 26.