4x+y=−1

x+y=2

1 answer

To solve the system of equations, we can use either substitution or elimination method.

Let's use substitution method:

From the second equation, we can solve for x in terms of y:
x = 2-y

Now we substitute this value of x into the first equation:
4(2-y) + y = -1
8 - 4y + y = -1
-3y = -9
y = 3

Now substitute the value of y into the second equation to find x:
x + 3 = 2
x = 2 - 3
x = -1

Therefore, the solution to the system of equations is x = -1 and y = 3.