For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7

The values of and for a linear system with infinitely many solutions are -2 and 5, respectively.

Step-by-step explanation:

Let , if this linear system has infinitely many solutions, then the following conditions must be met:

and .

and

The values of and for a linear system with infinitely many solutions are -2 and 5, respectively.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.