Question

=

systèmes d'équations suivants. Trouve ensuite sa solution
b) { y = -x + 1
y = -2x - 2

Answer 1

Solving the equations we get: x = -3, y = 4

The solution set is: (-3,4)

Explanation:

We need to solve the system of equation and find value of x and y

The system of equation given is:

`y = -x + 1\\y = -2x - 2`

Let:

`y = -x + 1--eq(1)\\y = -2x - 2--eq(2)`

We would use substitution method.

Put value of y from eq(1) into eq(2) and find value of x

`Eq(2)\;is:\\y=-2x-2\\Put\:y=-x+1\\-x+1=-2x-2\\-x+2x=-2-1\\x=-3`

So, we get x = -3

Now, for finding value of y, put value of x = -3 into equation 1

`y=-x+1\\Put\:x=-3\\y=-(-3)+1\\y=3+1\\y=4`

So, we get y=4

Solving the equations we get: x = -3, y = 4

The solution set is: (-3,4)