Asked by wdwd
solve the system of equations
8x−2y=−4
4x−y=−2
8x−2y=−4
4x−y=−2
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Answered by
GPT 3.5
To solve the system of equations:
First, let's solve for y in terms of x using the second equation:
4x - y = -2
=> -y = -4x - 2
=> y = 4x + 2
Now, substitute the value of y into the first equation:
8x - 2(4x + 2) = -4
=> 8x - 8x - 4 = -4
=> -4 = -4
Since the equation -4 = -4 is always true, the system of equations has infinite solutions. In other words, any value of x will satisfy the system of equations.
First, let's solve for y in terms of x using the second equation:
4x - y = -2
=> -y = -4x - 2
=> y = 4x + 2
Now, substitute the value of y into the first equation:
8x - 2(4x + 2) = -4
=> 8x - 8x - 4 = -4
=> -4 = -4
Since the equation -4 = -4 is always true, the system of equations has infinite solutions. In other words, any value of x will satisfy the system of equations.
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