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Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is y = 3x – 1. Which could be the other equation? y = 3x + 2 3x – y = 2 3x – y = 1 3x + y = 1

Respuesta :

The answer is 3x - y = 1, for that is equal to y = 3x - 1.

Hope this helps!
Brainliest Please!

Answer:

3rd Option is correct.

Step-by-step explanation:

Given: Equation is y = 3x - 1

We need to find another equation such that system of equation has infinitely solutions.

We know that System of Equations having infinitely many solution has ratio as following,

[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]

where a is coefficient of x and b is coefficient of y while c is constant term.

Clearly from Given Options Second equation is not a line with different coefficients. Its actually same with some changes.

Consider,

y = 3x - 1

transpose 3x to LHS

y - 3x = -1

Multiply both sides with -1

-y + 3x = 1

3x - y = 1

Therefore, 3rd Option is correct.

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