Systems of Linear Equations on the Digital SAT: the Desmos Method
Two equations, one picture: graph both lines and the point where they cross is the solution to the whole system.
Algebra·65 practice problems in DesPrep
The Systems of Linear Equations lesson is part of DesPrep
It is one of the 17 full lessons inside the subscription — 6 sections that take systems of linear equations from first principles to the fastest Desmos route, with a worked example on every one:
- The solution is the point where they cross
- Read the number the question actually asked for
- When the equations are not in y = form yet
- Word problems are two lines in disguise
- No solution and infinitely many solutions
- A parabola and a flat line touching once
Then 65 practice problems on this skill alone, solved inside a live Desmos calculator with step feedback and an expert replay on every one.
More Algebra guides
- Linear Equations in One VariableSolve a linear equation by graphing each side as its own function and reading the x-coordinate where they meet — no algebra, no sign errors.
- Linear FunctionsEvaluate and interpret linear functions on the graph — function values, slope and intercepts read straight off the curve.
- Linear Equations in Two VariablesRead intercepts and paired values straight off the line, including equations given in standard form.
- Linear InequalitiesGraph the boundary line and let the picture tell you which values satisfy the inequality.