SAT Math · Linear equations in two variables · easy
The equation 6x + 4y = 84 models a budget split between two categories of spending. If y = 6, what is the value of x?
The equation models a budget split between two categories of spending. If , what is the value of ?
Answer and explanation
Answer: A: 10
Substitute into : , so . Subtract 24: . Divide by 6: , choice A. Check: . Choice B (6) is the value of given in the problem. Choice C (14) fails the check, giving . Choice D (8) also fails, giving 72 instead of 84. Choice B simply repeats the given value of .
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