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Is (3,8) a solution to this system of equations?

y=8
y=2x+4

1 answer

To determine if the point \( (3, 8) \) is a solution to the system of equations, we will substitute \( x = 3 \) and \( y = 8 \) into each equation.

  1. For the first equation: \[ y = 8 \] We substitute \( y = 8 \): \[ 8 = 8 \] This is true.

  2. For the second equation: \[ y = 2x + 4 \] We substitute \( x = 3 \) and \( y = 8 \): \[ 8 = 2(3) + 4 \] Simplifying the right side: \[ 8 = 6 + 4 \] \[ 8 = 10 \] This is false.

Since \( (3, 8) \) satisfies the first equation but not the second, it is not a solution to the system of equations.