Question y-4-x-
What is the solution to the given system of equations?
y = 4 x - 9 y = 19 What is the solution x , y
Medium-difficulty · SAT Math · Systems of Two Linear Equations — Substitution method. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. It's given by the second equation in the system that . Substituting for in the first equation yields . Adding to both sides of this equation yields . Dividing both sides of this equation by yields . Therefore, since and , the solution to the given system of equations is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
More Systems of Two Linear Equations practice questions
- x + y = 18 5 y = x What is the solution x
- y = 4 x + 1 4 y = 15 x - 8 The
- One of the two equations in a linear system is . The system has
- For the first line in the system: The line slants sharply down from left
- 24 x + y = 48 6 x + y = 72 The solution
- At how many points do the graphs of the equations y = x +
- x = 10 y = x + 21 The solution to the given system
- x + 3 y = 29 3 y = 11 The solution to the
Browse all Heart of Algebra practice questions or return to the full SAT question bank.