Question

solve the following system of equations:

-2x + y = 1
-4x + y = -1

Answer 1

could somrbody please help me on this question:)

Answer 2

For this system, the elimination method works well.
We need to add the equations and eliminate a variable.
Since y + y = 2y, that does bnot eliminate y, but if we multiply an equation by -1, then we'll have y + (-y) = 0 which eliminates the y, Then we solve for x.

First rewrite the first equation and write the second equation multiplied by -1 below it.
-2x + y = 1
4x - y = 1
--------------(add)
2x = 2
Divide both sides by 2:
x = 1
Now use substitution to replace x with 1 in the first original equation and solve for y:
-2x + y = 1
-2(1) + y = 1
-2 + y = 1
y = 3
Solution: x = 1, y = 3