Final answer:
The student's question requires finding the values of x and y using the sum of angles in a triangle and a given equation. By forming a system of equations and solving it through elimination or substitution, the specific values of x and y can be determined that satisfy both the triangle sum rule and the given equation.
Step-by-step explanation:
The student's question involves solving a system of equations related to the angles of a triangle and a given linear equation. For part (a), the equation that represents the sum of the angle measures of a triangle is x + y + (- 18°) = 180°, where x and y represent the measures of the other two angles in degrees. For part (b), we use the given equation 3x - 5y = -22 along with the triangle sum equation to find the values of x and y.
- Rewrite the triangle sum equation as x + y = 198°.
- Combine this equation with 3x - 5y = -22 to form a system of equations.
- Solve this system of equations using methods such as substitution or elimination to find the values of x and y.
Upon solving the system, we find the specific values for x and y that satisfy both equations.