The ordered pairs (2, 17) and (5, 35) are solutions to which of the following equations?A. y=-6x+5B. y=6x-5C. y=6x+5D. y=-6x-5!! 35 POINTS !!

Answer:C. [tex]y=6x+5[/tex]Step-by-step explanation:we know thatIf a ordered pair is a solution of the equation, then the ordered pair must satisfy the equationVerify each casewe haveThe ordered pairs (2, 17) and (5, 35)case A) [tex]y=-6x+5[/tex]Verify ordered pair (2,17)Substitute the value of x and the value of y in the equation and then compare the results[tex]17=-6(2)+5[/tex][tex]17=-7[/tex] ----> is not truethereforeThe ordered pairs (2, 17) and (5, 35) are not solutions of [tex]y=-6x+5[/tex]case B) [tex]y=6x-5[/tex]Verify ordered pair (2,17)Substitute the value of x and the value of y in the equation and then compare the results[tex]17=6(2)-5[/tex][tex]17=7[/tex] ----> is not truethereforeThe ordered pairs (2, 17) and (5, 35) are not solutions of [tex]y=6x-5[/tex]case C) [tex]y=6x+5[/tex]Verify ordered pair (2,17)Substitute the value of x and the value of y in the equation and then compare the results[tex]17=6(2)+5[/tex][tex]17=17[/tex] ----> is truethereforethe ordered pair (2,17) is a solution of the equationVerify ordered pair (5,35)Substitute the value of x and the value of y in the equation and then compare the results[tex]35=6(5)+5[/tex][tex]35=35[/tex] ----> is truesothe ordered pair (5,35) is a solution of the equationHenceThe ordered pairs (2, 17) and (5, 35) are solutions of [tex]y=6x+5[/tex]case D) [tex]y=-6x-5[/tex]Verify ordered pair (2,17)Substitute the value of x and the value of y in the equation and then compare the results[tex]17=-6(2)-5[/tex][tex]17=-17[/tex] ----> is not truethereforeThe ordered pairs (2, 17) and (5, 35) are not solutions of [tex]y=-6x-5[/tex]