Answered

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2x+y=40 kx+2y=80


A system of equations is shown, where k is a constant. If the lines represented by the equations in the system are graphed in the xy-plane, for what value of k would the lines coincide?

A. -4

B. 1

C. 2

D. -4

Sagot :

rhianonn
—————the answer is c

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

Learn more :  brainly.com/question/24022234

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