Question

which of these equations is not in standard form? select the correct answer all are in standard form $3x - 7y = -59$ $.5x - .95y = 2.75$ $9x + 2y = -38$

Explanation:

Step1: Recall standard form of linear equations

The standard form of a linear equation is \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\) is non - negative.

Step2: Analyze each equation

• For \(3x-7y = - 59\): \(A = 3\), \(B=-7\), \(C = - 59\). All are integers, and \(A = 3>0\). So it is in standard form.
• For \(0.5x-0.95y=2.75\): Here \(A = 0.5=\frac{1}{2}\), \(B=-0.95 =-\frac{19}{20}\), \(C = 2.75=\frac{11}{4}\). These are not integers. So this equation is not in standard form.
• For \(9x + 2y=-38\): \(A = 9\), \(B = 2\), \(C=-38\). All are integers, and \(A=9 > 0\). So it is in standard form.

Answer:

\(.5x-.95y = 2.75\) (the equation \(0.5x - 0.95y=2.75\)) is not in standard form.