Question

Which ordered pairs are solutions to the equation 5x+12y=15? If more than one answer is correct, be sure to select all correct answers. Select all that apply: (5,−56) (−3,52) (−6,154) (−5,103) none of the above

Answer 1

Answer$5, -\frac{5}{6}, -3, \frac{5}{2}, -6, \frac{15}{4}, -5\frac{10}{3}$

Step-by-step explanation:

$5, -\frac{5}{6}$

$x=5, y= -\frac{5}{6} \\5x+12y=15\\5(5)+12(-\frac{5}{6})=15\\ 25+-10=15\\15=15$

-3, $\frac{5}{2}$

$x=-3,y=\frac{5}{2} \\5x+12y=15\\5(-3)+12(\frac{5}{2})=15\\ 15=15$

-6,  $\frac{15}{4}$

$x=-6,y=\frac{15}{4} \\5x+12y=15\\5(-6)+12(\frac{15}{4})=15\\ -30+45=15\\15=15$

-5, $\frac{10}{3}$

$x=-5, y=\frac{10}{3} \\5x+12y=15\\5(-5)+12 (\frac{10}{3})=15\\ -25+40=15\\15=15$

Answer 2

Answer:

none of the above

Step-by-step explanation:

the x-coordinates are always on the left side of the pair, you want to put the x-coordinate back into the equation and you should get (when you solve for y)the coordinate on the right, which is the y coordinate. Or you could do it the other way(put y back and solve for x)