Question

What is the solution of the following system? use the substitution method. {y−2x=816 4x=2y

a. the only solution is (24, 0) .
b. the only solution is , begin ordered pair 24 comma 0 end ordered pair,
c. the only solution is (1, 10)
d. the only solution is , begin ordered pair 1 comma 10 end ordered pair,
e. there is no solution. there is no solution. there are an infinite number of solutions.

Answer 1

The substitution method is used to solve a system of equations. In this case, there is no solution to the given system of equations.

Step-by-step explanation:

To solve this system of equations using the substitution method, we can solve one equation for one variable and substitute that expression into the other equation. Let's solve the second equation for x:

4x = 2y

x = (2y)/4

x = y/2

Now, substitute this expression for x in the first equation and solve for y:

y - 2(x) = 816

y - 2(y/2) = 816

y - y = 816

0 = 816

Since this equation is not true, there is no solution to the system of equations. Therefore, the correct answer is e) there is no solution.