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
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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
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
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