Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Example Problems
Candace purchased 2 notebooks and 3 pencils for a total of $9.
A month later, she purchased 3 notebooks and 2 pencils at the same prices, for a total of $8.
How much does one notebook cost?
A month later, she purchased 3 notebooks and 2 pencils at the same prices, for a total of $8.
How much does one notebook cost?
Erin bought 3 notebooks and 5 packs of pencils for a total of $15.
A month later, she bought 4 notebooks and 4 packs of pencils at the same prices, for a total of $14.
How much does a pack of pencils cost?
A month later, she bought 4 notebooks and 4 packs of pencils at the same prices, for a total of $14.
How much does a pack of pencils cost?
Natalie purchased 4 notebooks and 7 pens for a total of $22.
Another time, she purchased 5 notebooks and 5 pens (at the same prices) for a total of $20.
How much does one notebook cost?
Another time, she purchased 5 notebooks and 5 pens (at the same prices) for a total of $20.
How much does one notebook cost?
Khan Academy ResourcesNumber of solutions to system of equations reviewSubstitution method review (systems of equations)Systems of equations with substitutionSystems of equations with graphingSystems of equations with substitutionSystems of equations word problemsNumber of solutions to a system of equations graphicallyNumber of solutions to a system of equations algebraicallySolutions of systems of equationsSystems of equations: trolls, tolls (2 of 2)Systems of equations: trolls, tolls (1 of 2)Systems of equations number of solutions: fruit prices (1 of 2)Systems of equations with substitution: -3x-4y=-2 & y=2x-5Systems of equations number of solutions: fruit prices (2 of 2)Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120Systems of equations with substitution: y=4x-17.5 & y+2x=6.5Systems of equations with substitution: 9x+3y=15 & y-x=5Systems of equations with substitution: 2y=x+7 & x=y-4Systems of equations with substitution: y=-5x+8 & 10x+2y=-2Number of solutions to a system of equations algebraically
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