Question

2x+4y=100 x+y=40


what is a solution for this answer

Answer 1

To solve this system of equations, we can use substitution or elimination. Here's how to solve it using the substitution method:

1. Solve one of the equations for one of the variables. Let's solve the second equation for x:

x = 40 - y

2. Substitute this expression for x into the first equation and solve for y:

2(40 - y) + 4y = 100

80 - 2y + 4y = 100

2y = 20

y = 10

3. Substitute this value of y back into one of the original equations and solve for x:

x + 10 = 40

x = 30

So the solution to the system of equations is (x, y) = (30, 10).