Question

Do the equations x+y=5 and 5x+ 5y = 10 name the same line?A. The equations are equivalent since the first equation multiplied by 5 equals the second equation.B. The equations are equivalent since the first equation multiplied by 2 equals the second equation.C. The equations are not equivalent since they are not equal to the same number.D. The equations are not equivalent because you cannot multiply either equation by a number to equal the other equation.

Answer 1

`D`

Step-by-step explanation:

Here, we want to compare the equation of two lines

Let us take a look at the options:

a) This is incorrect. If we multiplied the first equation by 5, what we should have is equal to 25

b) This is incorrect. If we multiplied through by 2, what we should have is 2x + 2y = 10

c) This is incorrect. What we have on both sides for both equations must differ by a multiple

d) This is correct. There is no way to multiply either equation by a number to equal the other equation.