Question

Solve the system. Be sure to check all proposed solutions.

x + y = 12
y = 5x

Answer 1

The system of equations x + y = 12 and y = 5x is solved by substituting y = 5x into the first equation to find x = 2, and then substituting x back into y = 5x to find y = 10.

Step-by-step explanation:

Solving the System of Equations

To solve the given system of equations:

• x + y = 12
• y = 5x

We can substitute the second equation into the first to find the value of x.

x + 5x = 12

6x = 12

x = 2

Now that we have the value of x, we can find the value of y by plugging x into one of the original equations.

y = 5(2)

y = 10

The solution to the system is x = 2 and y = 10. It's important to check the solution in both original equations to ensure they are true.