which values of m and b will create a system of equations with no solution? select two options.\ny = mx +…

which values of m and b will create a system of equations with no solution? select two options.\ny = mx + b\ny=-2x+\frac{3}{2}

which values of m and b will create a system of equations with no solution? select two options.\ny = mx + b\ny=-2x+\frac{3}{2}

Answer

Explanation:

Step1: Recall condition for no - solution

Two linear equations (y = m_1x + b_1) and (y=m_2x + b_2) have no solution when (m_1=m_2) and (b_1\neq b_2). Here (m_2=-2) and (b_2 = \frac{3}{2}).

Step2: Identify correct (m) and (b) values

For the system (y = mx + b) and (y=-2x+\frac{3}{2}) to have no solution, (m=-2) and (b\neq\frac{3}{2}).

Answer:

Options where (m = - 2) and (b\neq\frac{3}{2}) (since no options are given in the question text, the general answer is that (m=-2) and (b) is any real - number except (\frac{3}{2})). If there were options like (m=-2,b = 1) and (m=-2,b=5) etc., those would be the correct selections).