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Both rules of a system are drawn on one grid, and the lines cross at the point (2, 5). What is the solution to the system?
Ax = 5 and y = 2 taken together
Bx = 2 and y = 2 taken together
Cx = 2 and y = 5 taken together
Dx = 7 and y = 3 taken together
Answer & Solution
Correct answer: C. x = 2 and y = 5 taken together
1. The crossing point is the one place that lies on both lines at once.
2. In a pair written as (2, 5), the first number is the value of x and the second is the value of y.
3. So x = 2 and y = 5 together form the solution, option C.
4. Option A swaps the two numbers round, which places the point somewhere else entirely.
_Source: OpenStax College Algebra (CC BY 4.0), Ch 7 "Systems of Equations and Inequalities", section 7.1 Systems of Linear Equations: Two Variables_
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