Question

solve the system of equations below
4x+y=16 and 2x+3y=-2

A) (4,-5)
B) (-5,4)
C) (5,4)
D) (5,-4)

Answer 1

please help! anyone! haha

Answer 2

@Damiselchild can you help me? :)

Answer 3

@Littlebird could you help me out?

Answer 4

are you able to isolate y in 4x+y=16 ?

Answer 5

would it be y=4x+16?

Answer 6

@jim_thompson5910

Answer 7

close

Answer 8

you subtract 4x from both sides though

Answer 9

to get y = -4x + 16

Answer 10

move onto the second equation

2x+3y=-2

2x+3(-4x+16)=-2 ... replace y with -4x+16

solve for x

Answer 11

@jim_thompson5910 x=5

Answer 12

correct

Answer 13

y = -4x + 16

y = -4(5) + 16 ... replace x with 5 (since we now know that x = 5)

y = ??

Answer 14

y=-4
so its (5,-4)

Answer 15

correct

Answer 16

thanks :)

Answer 17

if you were to graph the original equations, you'd see that they cross at (5,-4)

Answer 18

and it's a good idea to check the solution in both 4x+y=16 and 2x+3y=-2

Answer 19

Here is a site that can summarize jim_thompson's teachings
www.webmath.com/solver2.html