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Is (1,8) a solution to this system of equations?

y=x+7
y=4x+4

1 answer

To determine if the point (1, 8) is a solution to the system of equations, we will substitute \( x = 1 \) and \( y = 8 \) into both equations.

  1. For the first equation \( y = x + 7 \): \[ y = 1 + 7 = 8 \] This holds true since \( y = 8 \).

  2. For the second equation \( y = 4x + 4 \): \[ y = 4(1) + 4 = 4 + 4 = 8 \] This also holds true since \( y = 8 \).

Since (1, 8) satisfies both equations, it is indeed a solution to the system of equations.