Question

What is the solution to the system of equations? Use any method you like, but be sure to show all work.

Answer 1

These are known as simultaneous equations,,
2x + y= -3 take this as 1st equation
x-2y=-4 take this as 2 nd equation

therefore x - 2y= -2 should be multiplied by 2 inorder to cut off 2x and 2x from the first and second equations.

by multiplying we get 2x - 4y = -4

therefore 3rd equation should be substracted from 1st equation...

now, 2x -4y - 2x -y = -4-(-3)

therefore, -2x and +2x is cut.

as a result -5y= -1

therefore y = 1 /5

then let us find x

2x + y = -3
::: 2x + 1/5= -3
therefore 2x= -3-1/5

finally, x= -16/5÷2
then x= 8/5