2x-5=4x+1 - please help me lol

Simplifying
2x + -5 = 4x + -1

Reorder the terms:
-5 + 2x = 4x + -1

Reorder the terms:
-5 + 2x = -1 + 4x

Solving
-5 + 2x = -1 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-5 + 2x + -4x = -1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-5 + -2x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -2x = -1 + 0
-5 + -2x = -1

Add '5' to each side of the equation.
-5 + 5 + -2x = -1 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -1 + 5
-2x = -1 + 5

Combine like terms: -1 + 5 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

answer

the correct answer is the second option

explanation

given the two equations;

and

we can either decide to eliminate or .

if we want to eliminate , then we need to make the coefficients of

in both equations the same.

the coefficient of in equation (2) is and that of equation (1) .

so we multiply equation (1) by and equation (2) by .

now that the coefficients are the same, subtracting the two equations will eliminate from the equation.

also, multiplying the first equation by 2 and the second equation by 9, and then subtract will eliminate

therefore the correct option is b.

note option c will not eliminate , when we add. that makes it incorrect.