Question

Find the solution to the system of equations.
y = 2x
2x + 2y = 15

Answer 1

Explanation:

We can start by substituting the first equation into the second equation in terms of y:

2x + 2y = 15

2x + 2(2x) = 15 (since y = 2x)

2x + 4x = 15

6x = 15

x = 2.5

Now we can use the value of x to find y by substituting into the first equation:

y = 2x

y = 2(2.5)

y = 5

Therefore, the solution to the system of equations is (x, y) = (2.5, 5).

Answer 2

Answer: (5/2, 5)

Explanation:

We will substitute the first equation into the second equation. Then, we will solve using inverse operations.

2x + 2y = 15

2x + 2(2x) = 15

2x + 4x = 15

6x = 15

x = 15/6 = 5/2

Next, we will substitute this value into the first equation given.

y = 2x

y = 2(5/2)

y = 5

This means the solution to this system of equations, written as (x, y) is;

(5/2 , 5)