Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Solve the given system of equations

2x+8y=5
24x-4y=-15

Answer 1

multiply second equation by 2

48x-8y=-30

add with first equation

50x=-25

divide by 50

x=-½

substitute to first equation

2(-½)+8y=5

-1+8y=5

8y=6

y=¾

hence the solution to the system is (-½,¾)

Answer 2

(-1/2,3/4)

Explanation:

2x+8y=5

24x-4y=-15 > multiply this row by two

2x+8y=5

+48x-8y=-30 add the two functions

50x=-25 divide both sides by 50

x=-1/2

pick an equation and plug in x

2(-1/2)+8y=5

-1+8y=5

8y=6

y=6/8=3/4