Solve a System in the SAT Testing Desmos Calculator

This screen walkthrough uses actual captures from the College Board version of the Desmos testing calculator. Enter two x plus three y equals twelve in the first expression. Press Enter, then type five x minus three y equals nine in the second expression. You can enter standard form directly. The two lines cross, so look for their intersection, not an intercept on an axis.

Tap the point where the lines cross. The calculator shows three comma two. Check both original equations: two times three plus three times two equals twelve; five times three minus three times two equals nine. Elimination gives seven x equals twenty one, confirming x equals three and y equals two. If the crossing is outside the window, change the axis limits. A displayed decimal may be rounded; substitution checks the exact value.

For x + y = 9 and 2x − y = 3, the intersection is (4, 5). Adding the equations gives 3x = 12, so x = 4; then y = 5. Check 4 + 5 = 9 and 8 − 5 = 3.

Graph x + y = 9 and 2x − y = 3. Predict the intersection before tapping. Which coordinates satisfy both equations?

This screen walkthrough uses actual captures from the College Board version of the Desmos testing calculator. Enter two x plus three y equals twelve in the first expression. Press Enter, then type five x minus three y equals nine in the second expression. You can enter standard form directly. The two lines cross, so look for their intersection, not an intercept on an axis.

Tap the point where the lines cross. The calculator shows three comma two. Check both original equations: two times three plus three times two equals twelve; five times three minus three times two equals nine. Elimination gives seven x equals twenty one, confirming x equals three and y equals two. If the crossing is outside the window, change the axis limits. A displayed decimal may be rounded; substitution checks the exact value.

The video presents actual calculator screen captures with Google-generated narration. It is a narrated sequence of captured steps. Captures were checked on October 13, 2026 in the College Board testing configuration. Captions are timed by the measured narration segments; sentence timings within a segment are approximate. Desmos and College Board do not endorse PeakSAT.