SAT Math · Linear equations in two variables · easy

The line kx + 3y = 15 passes through the point (3, 2). What is the value of k?

The line kx+3y=15kx + 3y = 15 passes through the point (3,2)(3, 2). What is the value of kk?

Answer and explanation

Answer: A: 3

If the line passes through (3,2)(3, 2), those coordinates must satisfy kx+3y=15kx + 3y = 15. Substitute x=3x = 3 and y=2y = 2: 3k+3(2)=153k + 3(2) = 15, so 3k+6=153k + 6 = 15, then 3k=93k = 9 and k=3k = 3, choice A. Check: 3(3)+3(2)=9+6=153(3) + 3(2) = 9 + 6 = 15. Choice B (5) comes from dividing 15 by 3 without using the point. Choice C (9) is the value of 3k3k, not kk, an unfinished last step. Choice D (1) does not work: 1(3)+3(2)=91(3) + 3(2) = 9, not 15. Substitute the point, then isolate kk.

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