Question

Solve the following system of equations using substitution. What is the value of y?

2x + 3y = 105
x + 2y = 65
(1 point)
Responses

15

25

40

65

Answer 1

are you very sure

Answer 2

To solve the system of equations using substitution, we can solve one equation for x and substitute it into the other equation.

From the second equation, we can solve for x:
x + 2y = 65
x = 65 - 2y

Now we can substitute this value of x into the first equation:
2x + 3y = 105
2(65 - 2y) + 3y = 105
130 - 4y + 3y = 105
130 - y = 105
-y = 105 - 130
-y = -25

Dividing both sides of the equation by -1, we get:
y = 25

Therefore, the value of y is 25.

Answer 3

Yes, I am confident that the value of y in the given system of equations is 25.