Question

Determine if (4,1) is a solution for the system of equations. Explain answer

y = -x + 5
y = 2x - 7

Answer 1

Explanation:

To determine if the point (4,1) is a solution for the system of equations, we need to substitute the values of x and y from the point into both equations and check if the equations hold true.

For the first equation, y = -x + 5, we substitute x = 4 and y = 1:

1 = -(4) + 5

1 = -4 + 5

1 = 1

The equation holds true for the first equation.

For the second equation, y = 2x - 7, we substitute x = 4 and y = 1:

1 = 2(4) - 7

1 = 8 - 7

1 = 1

The equation also holds true for the second equation.

Since the point (4,1) satisfies both equations, it is indeed a solution to the system of equations.