As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

$\frac{x}{42.56}=\frac{x+10}{72.96}$

by cross multiply we get;

$72.96x = 42.56(x+10)$

using distributive property; $a\cdot (b+c) =a\cdot b + a\cdot c$

$72.96x = 42.56x+425.6$

Subtract 42.56x from both sides we get;

$30.4x =425.6$

Divide both sides by 30.4 we get;

x = 14

Therefore, the tank is her now is, 14 gallons

5 0

2 years ago

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Which linear system of equations does the matrix represent 4 -7 -14 4 -12 4

Novosadov [1.4K]

The given matrix represent the following linear system

4x - 7y = -12
-14x + 4y = 4

Good luck!!!

4 0

2 years ago