solve the following systems of equations for the unknown variables. enter your answer in (x, y) format.

$x - 7 = 11$
$x + y = 26$

Question

solve the following systems of equations for the unknown variables. enter your answer in (x, y) format.

$x - 7 = 11$
$x + y = 26$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Linear Equations Solving", "Algebraic Substitution", "Systems of Linear Equations" ], "new_concepts": [], "current_concepts": [ "Linear Equations Solving", "Algebraic Substitution", "Systems of Linear Equations" ] } ## Solve the first equation for x Using the *Linear Equations Solving* knowledge point $$ \begin{aligned} x - 7 &= 11 \ x &= 11 + 7 \ x &= 18 \end{aligned} $$ ## Substitute x into the second equation Using the *Algebraic Substitution* knowledge point $$ \begin{aligned} x + y &= 26 \ 18 + y &= 26 \end{aligned} $$ ## Solve for y Using the *Linear Equations Solving* knowledge point $$ \begin{aligned} y &= 26 - 18 \ y &= 8 \end{aligned} $$ ## Verify the solution Using the *Systems of Linear Equations* knowledge point $$ \begin{aligned} 18 - 7 &= 11 \quad (\text{True}) \ 18 + 8 &= 26 \quad (\text{True}) \end{aligned} $$ Solve the following systems of equations for the unknown variables. Enter your answer in (x, y) format. $x - 7 = 11$ $x + y = 26$ $(18, 8)$ { "elements": [ { "type": "line", "params": [[18, -10], [18, 10]], "properties": { "name": "x = 18", "strokeColor": "#8C55F2", "strokeWidth": 2, "withLabel": true } }, { "type": "line", "params": [[0, 26], [26, 0]], "properties": { "name": "x + y = 26", "strokeColor": "#5583F2", "strokeWidth": 2, "withLabel": true } }, { "type": "point", "params": [[18, 8]], "properties": { "name": "(18, 8)", "color": "#F2557F", "size": 4, "withLabel": true } } ], "timestamps": [0.5, 1.0, 1.5] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Solve the first equation for x

Substitute x into the second equation

Solve for y

Verify the solution

Answer: