Midcontinent Research for Education and Learning
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Common Core Mathematics 912
Cluster
Solve systems of equations
Grade 912
A.REI.5.
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
A.REI.6.
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
A.REI.7.
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
For example, find the points of intersection between the line y = − 3x and the circle x
^{2}
+ y
^{2}
= 3.
A.REI.8.
(+) Represent a system of linear equations as a single matrix equation in a vector variable.
A.REI.9.
(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).