Solve by the addition method. (If the solution is inconsistent, enter INCONSISTENT. If the equations are dependent, give the answer in terms of x.) x – 2y = −4 –2x + 4y = 8

consistent and dependent:  x: -4 +2y

Step-by-step explanation:

 x – 2y = −4

–2x + 4y = 8

Multiply the first equation by 2

2(x – 2y = −4 )

2x -4y = -8

Add this to the second equation

2x – 4y = −8

–2x + 4y = 8

0    = 0

This is always true

There are infinite solutions.  They equations are consistent and dependent

x= -4+2y

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions