5x+7y = - 1

-3x+4y = - 24

x = 4

y = - 3

Step-by-step explanation:

multiply top equation by 3

multiply bottom equation by 5

cancel terms that can be cancelled (15x and - 15x) add the others

15x + 21y = - 3

-15x + 20y = - 120

41y = - 123

y = - 123/41 = - 3

plug y = - 3 into the top equation

5x - 21 = - 1

5x = 20

x = 4

simultaneous equations:

if we want to cancel out y, multiply the bottom equation by 1.75

to get - 5.25x + 7y = - 42

5x + 7y = - 1

--5.25x + 7y = - 42

= 10.25x = 41

x=41/10.25

x=4

substitute to find y

5*4

20+7y=-1

7y=-21

y=-3

other equation:

-3*4 + 4*-3

-12+-12=-24

-12-12=24