Answer:
the solution to the system of equations x = 2y and 4x + 2y = 30 is x = 6 and y = 3.
Explanation:
To solve the system of equations x = 2y and 4x + 2y = 30, we can use the method of substitution or elimination. Let's use the method of substitution.
Since x = 2y, we can substitute 2y for x in the second equation:
4(2y) + 2y = 30
Simplifying the equation:
8y + 2y = 30
10y = 30
y = 3
Now that we have the value of y, we can substitute it back into the first equation to find the value of x:
x = 2(3)
x = 6