Question

PLEASE HELP

Which ordered pair is the best estimate for the solution of the system of equations?

y=−25x−2y=5x+1

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(−0.5, −1.75)

(0, −2)

(−0.5, −1)

(−1, −2)

Answer 1

(−0.5, −1.75)

Explanation:

we have

`y=-(2)/(5)x-2` -----> equation A

`y=5x+1` ----> equation B

equate equation A and equation B

`-(2)/(5)x-2=5x+1`

solve for x

Multiply by 5 both sides

`-2x-10=25x+5\\25x+2x=-10-5\\27x=-15\\x=-(5)/(9)`

Find the value of y

substitute the value ox in equation A or equation B

`y=5(-(5)/(9))+1`

`y=-(25)/(9)+1`

`y=-(16)/(9)`

The exact solution is
`(-(5)/(9),-(16)/(9))`

The approximate solution is
`(-0.556,-1.778)`

therefore

The best estimate for the solution of the system of equations is the point (−0.5, −1.75)