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

y=4x+4
y=6x+2

1 answer

To determine if \((1, 8)\) is a solution to the system of equations given by \(y = 4x + 4\) and \(y = 6x + 2\), we need to substitute \(x = 1\) and \(y = 8\) into both equations.

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

  2. For the second equation \(y = 6x + 2\): \[ y = 6(1) + 2 = 6 + 2 = 8 \] This also holds true since \(y = 8\).

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