Question

Finding the value of 'y' in the following system of equations:

6/8 = 9/x
6/8 = y/2
Solve for 'x' and 'y' in the system:
x = 12/ 15.75
y = ?

Answer 1

To find the value of 'y' in the given system of equations, you can set the fractions equal to each other, cross-multiply, and solve for 'y'. The value of 'x' can be found by solving for it in the first equation and substituting it into the second equation.

Step-by-step explanation:

To find the value of 'y' in the given system of equations, we can use the fact that the two fractions are equal, and set them equal to each other: 6/8 = 9/x = 6/8 = y/2. Cross-multiplying, we get: 6x = 72. Solving for 'x', we find that x = 12. Substituting this value of 'x' into the second equation, we find: 6/8 = y/2 = 6/8 = y/2. Cross-multiplying, we get: 8y = 12. Solving for 'y', we find that y = 9/2 or y = 4.5.