The system of equation x − y = 2 and −2x+2y = −4 is dependent becasue the they have same coefficient of x and y option second is correct.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
As we know, if the two linear equations have the same coefficient of x and y they are dependent or if the graph of two linear equations is the same then the equations are dependent.
From the given options, we can see the system of equations:
x − y = 2 and −2x + 2y = −4 are the same equation.
Take the equation −2x + 2y = −4 and divide by -2 on both sides, we get:
x - y = 2
This is the same equation as x − y = 2
Thus, the system of equation x − y = 2 and −2x+2y = −4 is dependent becasue the they have same coefficient of x and y option second is correct.
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