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Serggg [28]
3 years ago
10

Which solution is the best estimate to the system of equations?

Mathematics
2 answers:
Alexeev081 [22]3 years ago
6 0
(1.5,0) ? I'm not sure...
Sav [38]3 years ago
5 0

Answer:

The correct option is 2.

Step-by-step explanation:

The given system of equations is

y=\frac{1}{4}x-2              .... (1)

y=-2x+3                  .... (2)

Subtract equation (2) from equation (1), to eliminate y.

y-y=\frac{1}{4}x-2-(-2x+3)

0=\frac{1}{4}x-2+2x-3

On combining like terms we get

0=\frac{9}{4}x-5

Add 5 on both sides.

5=\frac{9}{4}x

Multiply both sides by 4.

20=9x

Divide both sides by 9.

\frac{20}{9}=x

The value of x is \frac{20}{9}.

Substitute x=\frac{20}{9} in equation (2).

y=-2(\frac{20}{9})+3=-\frac{13}{9}

The solution of given system of equation is

(\frac{20}{9},-\frac{13}{9})=(2.22...,-1.44...)\approx (2.2,-1.4)

Therefore the correct option is 2.

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