MYP Standard Mathematics Topic 4.4 Systems of Linear…

If a system of two linear equations in the form $y = mx + b$ has different gradients ( $m_1 \ne m_2$ ), the system is classified as having:

To solve $3x + y = 10$ and $x - 2y = 1$ by substitution, one could isolate $y$ in the first equation to get . Substituting this into the second equation results in which simplified one-variable equation?

Fill in the blank: To eliminate the variable $y$ from the system below by addition, one could multiply the first equation by 2 and the second equation by ____.

\begin{cases} 3x + 5y = 11 \\ 2x - 2y = 4 \end{cases}

True or False: The equations $x - y = 4$ and $2y - 2x = -8$ represent coincident lines.

Given a system in the form:

\begin{cases} a_1x + b_1y = c_1 \\ a_2x + b_2y = c_2 \end{cases}

If the ratios of the coefficients satisfy $\frac{a_1}{a_2} = \frac{b_1}{b_2} \ne \frac{c_1}{c_2}$ , what is the geometric relationship between the two lines?

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MYP Standard Mathematics 4.4 Systems of Linear Equations Questionbank

MYP Standard Mathematics 4.4 Systems of Linear Equations Questionbank

MYP Standard Mathematics 4.4 Systems of Linear Equations Questionbank

MYP Standard Mathematics 4.4 Systems of Linear Equations Questionbank

MYP MYP Standard Mathematics Topic 4.4 Systems of Linear Equations Questionbank