Question

Is (5,8) a solution to this system of equations? 8x 3y=15 20x–14y= – 12

Answer 1

The point (5,8) does not satisfy both equations in the system (8x - 3y = 15 and 20x - 14y = -12), therefore it is not a solution.

Step-by-step explanation:

To determine if the point (5,8) is a solution to the system of equations:

1. 8x - 3y = 15
2. 20x - 14y = -12

We need to substitute the x-value and the y-value into both equations to check for equality.

For the first equation 8x - 3y = 15:

8(5) - 3(8) = 40 - 24 = 16, which does not equal 15. Therefore, (5,8) is not a solution to the first equation.

For the second equation 20x - 14y = -12:

20(5) - 14(8) = 100 - 112 = -12, and this equals -12. So, the point (5,8) satisfies the second equation but not the first.

Since (5,8) does not satisfy both equations, it is not a solution to the system of equations.