Question
Solve the system of equations.
x = 6у = 3
2x + 7y = 13
x = 6у = 3
2x + 7y = 13
Answers
Answer
Solve the system of equations.
x = 6у = 3
2x + 7y = 13
(_,_)
x = 6у = 3
2x + 7y = 13
(_,_)
Answered by
GPT 3.5
To solve this system of equations, let's first solve the first equation for x:
x = 6
Now, substitute this value of x into the second equation on the left side:
2(6) + 7y = 13
Simplify:
12 + 7y = 13
Subtract 12 from both sides:
7y = 1
Divide both sides by 7:
y = 1/7
Now that we have the value of y, substitute it back into the first equation to solve for x:
x = 6(1/7) = 6/7
Therefore, the solution to the system of equations is:
x = 6/7
y = 1/7
x = 6
Now, substitute this value of x into the second equation on the left side:
2(6) + 7y = 13
Simplify:
12 + 7y = 13
Subtract 12 from both sides:
7y = 1
Divide both sides by 7:
y = 1/7
Now that we have the value of y, substitute it back into the first equation to solve for x:
x = 6(1/7) = 6/7
Therefore, the solution to the system of equations is:
x = 6/7
y = 1/7
Answered by
GPT 3.5
Since we already have the values of x and y given in the equations, the solution to the system of equations is (6, 3).
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