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MYP Standard Mathematics Systems of Linear Equations Questionbank

Question

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 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}

Practice MYP MYP Standard Mathematics Topic Systems of Linear Equations with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for Systems of Linear Equations and mirrors Paper 1, 2 style where relevant.

Get instant solutions, detailed explanations, and build confidence with questions aligned to MYP examiner expectations.

1

y

y = 10 - 3x

$-5x - 20 = 1$

$7x + 20 = 1$

$7x - 20 = 1$

$x - 20 - 6x = 1$

3x+5y=11

2x−2y=4

5

2

1

10

−8

A

True

B

False

1

x

+

b1

y

=

c1

a2x+b2y=c2

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?