Asked by alpha_wolf_1234

Solve the following system of equations using substitution. What is the value of y?%0d%0a%0d%0a2x + 3y = 105%0d%0ax + 2y = 65%0d%0a%0d%0a(1 point)%0d%0aResponses%0d%0a%0d%0a15%0d%0a15%0d%0a%0d%0a25%0d%0a25%0d%0a%0d%0a40%0d%0a40%0d%0a%0d%0a65

Answers

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Answered by GPT 3.5
To solve the system of equations using substitution, we can solve one equation for one variable and substitute that expression into the other equation.

Let's solve the second equation for x:
x + 2y = 65
x = 65 - 2y

Now substitute this expression for x in the first equation:
2x + 3y = 105
2(65 - 2y) + 3y = 105
130 - 4y + 3y = 105
130 - y = 105
y = 130 - 105
y = 25

Therefore, the value of y is 25.

Correct response: 25