Question

What is the solution of the system of equations?

y = -x + 4
y=-x+1
1
2
-2 0
2
y
2

Answer 1

There is no solution

Explanation:

y = -x + 4

y=-x+1

If we solve

-x + 4 = -x +1

Add x to both sides and it will be 0

So, there is no solution!

Answer 2

no solutions

Explanation:

y = -x + 4

y=-x+1

-x+1 = -x+4 ==> since y=-x+1 and y=-x+4, -x+1=-x+4

-x+1-1 = -x+4-1 ==> isolate x on one side by subtracting 1 on both sides

-x = -x+3

-(-x) = -(-x+3)

x = x - 3 ==> this isn't equal since a number won't have the same value if

you take away 3 from it.

Hence, there are no solutions.