Answer:
The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.
Step-by-step explanation:
Let [tex]2\cdot x_{1}+5\cdot x_{2} = -1\cdot h\cdot x_{1} + k\cdot x_{2} = 7[/tex], if this linear system has infinitely many solutions, then the following conditions must be met:
[tex]-1\cdot h = 2[/tex] and [tex]k = 5[/tex].
[tex]h = -2[/tex] and [tex]k = 5[/tex]
The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.
