Question

one equation in a linear system is 5x+3y=14. write another equation so that the system has the unique solution (4,-2)

Answer 1

simplest would be:

x + y = 2

Answer 2

sorry - I mean obtained by just adding the x and y values of the SINGLE solution provided

Answer 3

does it make sense?

Answer 4

i gues.. im not sure

Answer 5

you are told that the unique solution is:
x=4, y=-2

so we know x + y = 4 + (-2) = 4 - 2 = 2

Answer 6

we could have created any other combination - as long as it is NOT a multiple of the 1st solution given - otherwise you would not be able to solve the system of simultaneous equations

Answer 7

e.g. 10x + 6y = 10*4 + 6*(-2) = 40 - 12 = 28

but this would not allow you to solve the system to find x and y.

Answer 8

ahaa

Answer 9

so that would be it ?>

Answer 10

good - I'm glad I was able to explain it clearly enough for you :-)

Answer 11

ok so the solution would be x+y=4+(-2)

Answer 12

not the "solution", but the answer to the question - yes

Answer 13

aaa ok yea i meant that

Answer 14

each equation represents a straight line.
if the two lines are NOT parallel, then they will intersect.
the point at which they intersect will be the "solution" to the system of equations.

Answer 15

thank you i appreciate

Answer 16

yw