Answer: x = 200, y = 50
Explanation:
Since one of our equations in our system is directly equal to one of the variables we are looking for, x, we can substitute that equation into x in the equation 5x - 10y = 500 to solve for y first:
5(50 + 3y) - 10y = 500
250 + 15y - 10y = 500
250 + 5y = 500
-250 -250
5y = 250
/ 5 / 5
y = 50
Now that we know the value of y, we can plug the value of y into the equation x = 50 + 3y (you can also plug it into the other equation, but this equation will be a bit easier since it's directly solving for x):
x = 50 + 3(50)
x = 50 + 150
x = 200
We can check our values by plugging both into 5x - 10y = 500:
5(200) - 10(50) = 500
1000 - 500 = 500
500 = 500
Both sides are equal to each other, so we correctly computed the values of x and y; x = 200 and y = 50.
I hope this helps! :)