Question

Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.
5x+2y=21
-2x+6y=-34

Answer 1

lets try substitution
5x+2y=21
=5x=21-2y
=x=(21-2y)/5

sub into second equation

Answer 2

-2(21-2y)/5+6y=-34
(-42+4y)/5+6y=-34
solve for y
y=-64/17
plug into equation and solve for
x=(97/17) weird.

Answer 3

theres your answer. checked it. it's correct. weird retricenumbers but correct

Answer 4

hm when i did it i did -2(21-2y)/5+6y=-34 solves for y + -41+4y/5+6y=-34 the get rid of the fraction so i multiplied both sides by 5/1 and i got -41+4y+64=170 then combine like terms and add 41 to both sides and i got y=21.1

Answer 5

OH WAIT i just saw my mistake

Answer 6

:)

Answer 7

but im still a lil confused how did you get -64/17

Answer 8

like what method did you use to solve for x

Answer 9

i mean y

Answer 10

i did subtitution for y and then plugged y into any of the other equations to get x

Answer 11

like why are our answers so different
bc i redid it and i got 21.2

Answer 12

clear fractions
(-42+4y)+30y=-170
=34y=-170+42
=34y=-128
=y=-64/17

Answer 13

does 21.2 work when you plug it in?

Answer 14

y=-64/17=-3.76
x=97/17=5.71

Answer 15

It's -3.8