If the system has infinitely many solutions. Then the value of the coefficient of x will be 5.
What is the linear system?
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Michael wrote the system of equations below, but he accidentally left out the coefficient of x in the first equation.
y = ax – 2
3y = 15x – 6
If the system has infinitely many solutions.
Then the value of a will be
The condition for infinitely many solutions will be
a₁ / a₂ = b₁ / b₂ = c₁ / c₂
Then we have
a / 15 = 1 / 3 = – 2/ (– 6)
a / 15 = 1 / 3 = 1 / 3
a = 5
Thus, the correct option is C.
More about the linear system link is given below.
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