The value of 'k' for the given system of equation that coincides is 4
k=4
Given :
System of equations
[tex]2x+y=40 \\kx+2y=80[/tex]
The given equation is in the form of ax+by=c
When the two lines coincides then
[tex]\frac{a_1}{a_2} =\frac{b_1}{b_2} =\frac{c_1}{c_2}[/tex]
Lets make the coefficients proportional to each other and then solve for k
[tex]\frac{2}{k} =\frac{1}{2} =\frac{40}{80} \\\frac{2}{k} =\frac{1}{2} =\frac{1}{2} \\\\\frac{2}{k} =\frac{1}{2} \\4=k\\k=4[/tex]
The value of k from the given system of equation is 4
When the line coincides then the value of k is 4
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