3 5 x + 3 4 y = 7 Which table gives three values of x and their corresponding values

Question

3 5 x + 3 4 y = 7 Which table gives three values of x and their corresponding values of y for the given equation?

Accepted Answer

Choice D is correct. Each of the tables gives the same three values of x : 1 , 2 , and 4 . Substituting 1 for x in the given equation yields 3 5 1 + 3 4 y = 7 , or 3 5 + 3 4 y = 35 5 . Subtracting 3 5 from both sides of this equation yields 3 4 y = 32 5 . Multiplying both sides of this equation by 4 3 yields y = 128 15 . Therefore, when x = 1 , the corresponding value of y for the given equation is 128 15 . Substituting 2 for x in the given equation yields 3 5 2 + 3 4 y = 7 , or 6 5 + 3 4 y = 35 5 . Subtracting 6 5 from both sides of this equation yields 3 4 y = 29 5 . Multiplying both sides of this equation by 4 3 yields y = 116 15 . Therefore, when x = 2 , the corresponding value of y for the given equation is 116 15 . Substituting 4 for x in the given equation yields 3 5 4 + 3 4 y = 7 , or 12 5 + 3 4 y = 35 5 . Subtracting 12 5 from both sides of this equation yields 3 4 y = 23 5 . Multiplying both sides of this equation by 4 3 yields y = 92 15 . Therefore, when x = 4 , the corresponding value of y for the given equation is 92 15 . The table in choice D gives x -values of 1 , 2 , and 4 and corresponding y -values of 128 15 , 116 15 , and 92 15 , respectively. Therefore, the table in choice D gives three values of x and their corresponding values of y for the given equation. Choice A is incorrect. This table gives three values of x and their corresponding values of y for the equation 3 5 x + 3 4 + y = 7 . Choice B is incorrect. This table gives three values of x and their corresponding values of y for the equation 3 5 x + y = 10 . Choice C is incorrect. This table gives three values of x and their corresponding values of y for the equation 3 5 x + 3 4 y = 8 .

$x$	$y$
$1$	$StartFraction 113 Over 20 EndFraction$
$2$	$StartFraction 101 Over 20 EndFraction$
$4$	$StartFraction 77 Over 20 EndFraction$

$x$	$y$
$1$	$StartFraction 47 Over 5 EndFraction$
$2$	$StartFraction 44 Over 5 EndFraction$
$4$	$StartFraction 38 Over 5 EndFraction$

$x$	$y$
$1$	$StartFraction 148 Over 15 EndFraction$
$2$	$StartFraction 136 Over 15 EndFraction$
$4$	$StartFraction 112 Over 15 EndFraction$

$x$	$y$
$1$	$StartFraction 128 Over 15 EndFraction$
$2$	$StartFraction 116 Over 15 EndFraction$
$4$	$StartFraction 92 Over 15 EndFraction$

Question 3-5-x-