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Is (4,10) a solution to this system of equations?

y=2x+2
y=10x+1

1 answer

To determine if the point (4, 10) is a solution to the given system of equations, we need to substitute \( x = 4 \) into both equations and see if \( y \) equals 10 in each case.

  1. For the first equation \( y = 2x + 2 \): \[ y = 2(4) + 2 = 8 + 2 = 10 \] This satisfies the first equation.

  2. For the second equation \( y = 10x + 1 \): \[ y = 10(4) + 1 = 40 + 1 = 41 \] This does not satisfy the second equation.

Since (4, 10) satisfies the first equation but not the second, it is not a solution to the system of equations.