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y = 4x + 1, (1)
y = x + 4. (2)
Since left sides of these equations are identical (y's), their right sides are equal.
So you have a single equation for x to solve:
4x + 1 = x + 4. (notice: this is the same as to make a substitution for y).
3x = 3,
x = 1.
Then y = 5.
