Answer:
So, the solution is x = -3 and y = 4. This means that the two lines intersect at the point (-3, 4)
Explanation:
The given equations represent two lines in a two-dimensional plane. To find the solution for the values of x and y that satisfy both equations, we can use the method of substitution or elimination.
Using substitution, we can solve for x or y in one of the equations and substitute the result into the other equation. Let's solve for y in the second equation:
x + y = 1
y = -x + 1
Now, substitute this expression for y into the first equation:
-x + (-x + 1) = 7
-2x + 1 = 7
-2x = 6
x = -3
Finally, we can use the expression for y that we derived earlier to find y:
y = -x + 1 = -(-3) + 1 = 4