4 years ago

For what values of h and k does the linear system have infinitely many solutions?

Mathematics

1 answer:

Sophie [7]4 years ago

7 0

Answer:

h=-32 and k=-24

Step-by-step explanation:

$4x_1 + 3x_2 = -1:a_1x_1 + b_1x_2=c_1\\hx_1 +kx_2=8:a_2x_1+b_2x_2=c_2$

For infinitely many solutions, lines must be same; $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\\\\=\frac{4}{h}=\frac{3}{k}=\frac{-1}{8}\\\\h=-32, k=-24$

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