Answer:
(-1, 8)
Step-by-step explanation:
Make y the subject:
x + y = 7 ⟹ y = -x + 7
1. Substitute the value for y into 7x + y = 1 and solve for x:
7x + (-x + 7) = 1
7x - x + 7 = 1
6x + 7 = 1
6x + 7 - 7 = 1 - 7
6x = -6
6x ÷ 6 = -6 ÷ 6
x = -1
2. Substitute the given value of x into x + y = 7 and solve for y:
x + y = 7
-1 + y = 7
-1 + 1 + y = 7 + 1
y = 8
Therefore, the solution to this system of equations is: (-1, 8).
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