Question

select the correct answer for me to drop down menu Wayne and Winston collect old coins Winston has eight fewer coins than Wayne has if you had four times the number of coins Wayne has and three times the number of coins Winston has the sum is 375 this system of linear equations relates to the number of coins Wayne has X in the number of coins Winston has why why equals x - 84x + 3 y equals 375 the best method to solve this system of equations is

Answer 1

To solve the system of equations representing Wayne and Winston's coins, substitution is the best method, where y is substituted with (x - 8) into the equation 4x + 3y = 375, allowing for finding the values of x and y.

Step-by-step explanation:

To solve the system of linear equations given in the question, where x represents the number of coins Wayne has and y represents the number of coins Winston has, we have two equations:

1. y = x - 8, which tells us that Winston has eight fewer coins than Wayne.
2. 4x + 3y = 375, which gives us the sum of four times the number of coins Wayne has and three times the number of coins Winston has.

To solve for x and y, the best method would be to use substitution. We can substitute the expression for y from the first equation into the second equation:

1. Solve the first equation for y: y = x - 8
2. Substitute this expression for y into the second equation and solve for x: 4x + 3(x - 8) = 375.
3. Simplify and solve for x.
4. Once x is found, substitute it back into the first equation to solve for y.

This process will give us the exact number of coins that Wayne and Winston have.