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Reil [10]
2 years ago
7

A system of linear equations for the variables x and y is shown.

Mathematics
1 answer:
love history [14]2 years ago
7 0

Answer: -3

Step-by-step explanation:

Given

Equations of the lines are

y=-x-4\\3y=cx-18

For the system of linear equation a_1x+b_1y=c_1,a_2x+b_2y=c_2 has no solution if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}

Rewrite the equations

x+y=-4,\ cx-3y=18

Insert the values for the no solution condition

\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3

Therefore, for c=-3, the system of linear equation ha no solution.

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