83223
AssignmentMultiple Choice

Solving Systems of Linear Equations: Graphing

Question 83223 • PA PCS Math 1 2026 Fall Sem XR

Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed.y + 2.3 = 0.45x–2y = 4.2x – 7.8

Answer
A
(2.4, –1.2)
B
(–1, 2.5)
C
no solution
D
infinitely many solutions

Explanation

Rewrite the equations in slope-intercept form: the first is y = 0.45x − 2.3, and the second is y = −2.1x + 3.9. At the intersection, their y-values are equal, so 0.45x − 2.3 = −2.1x + 3.9, giving x ≈ 2.4. Substituting gives y ≈ −1.2, so the solution is (2.4, −1.2), choice A.

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