Question

Which statements are true about the ordered pair (-1,-4) and the system of equations? x-y=3 and 7x-y=-3

Answer 1

Answer:

when (-1, -4) is substituted into the first equation it's true

when (-1, -4) is substituted into the second equation it's true

the ordered pair (-1, -4) is a solution to the systems of equation

Step-by-step explanation:

original equation

x-y=3

multiply both sides by 7

7x-7y = 21

add 7y to both sides

7x=7y + 21

substitute into second equation

(7y+21)-y=-3

simplify

6y+21=-3

subtract 21 from both sides

6y=-24

y=-4

substitute y into original equation

x-(-4) = 3

cancel out negative signs

x+4=3

subtract -4 from both sides

x=-1