Question

Determine whether the given point is a solution of the equation x + y = 10; (5, 7)

a) Yes
b) No

Answer 1

After substituting the values from the point (5, 7) into the equation x + y = 10, we find that 5 + 7 = 12, which does not equal 10. Therefore, the point (5, 7) is not a solution to the equation. So option ( B) is correct.

Step-by-step explanation:

To determine whether the given point (5, 7) is a solution to the equation x+y=10, we need to substitute the values of

x and y into the equation and check if the equation holds true.

The equation x+y=10 represents a straight line in a two-dimensional Cartesian coordinate system. Any point on this line should satisfy the equation, meaning that if we substitute the x and y coordinates of the point into the equation, the equation should be true.

Let's substitute the values x = 5 and y = 7 into the equation:

x + y = 10

5 + 7 = 10

12 = 10

Since 12 does not equal 10, the point (5, 7) is not a solution to the equation x + y = 10, making the correct answer No.