Answer to Question #100888 in Algebra for qais munjed amin ahmad amin

Question

Consider the following system of linear equations
x + 3 y = k
4 x + h y = 8

Answer 1

For a system of equation to have infinite many solutions,

Then,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$

Using the same equation here,

$\frac{1}{4}=\frac{3}{h}=\frac{k}{8}$ ;

Hence,$h=12,k=\frac{8}{4}$ $=2$ .