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Standard X

Mathematics

Elimination Method of Finding Solution of a Pair of Linear Equations

A taxi ride c...

Question

A taxi ride costs $$ 3$ plus $$ 2$ for each mile driven. You spend $$ 39$ on a taxi. This can be modeled by the equation $2 m + 3 = 39$ , where $m$ represents the number of miles driven. How long was your taxi ride?

$18 m i$

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$21 m i$

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$34 m i$

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$72 m i$

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Solution

The correct option is A
$18 m i$

Solve the equation:
$2 m + 3 = 39$
Transfer the constant to the RHS, We get
$2 m = 39 - 3 2 m = 36$
Divide both sides of the equation by $2$ , We get
$m = 18$
Since, $m$ denotes the number of miles, the vehicle drove for $18$ $m i l e s$

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A taxi ride costs $3 plus $2 for each mile driven. You spend $39 on a taxi. This can be modeled by the equation 2m+3=39, where m represents the number of miles driven. How long was your taxi ride?

The correct option is A 18miSolve the equation:2m+3=39Transfer the constant to the RHS, We get2m=39-32m=36Divide both sides of the equation by 2, We getm=18Since, mdenotes the number of miles, the vehicle drove for 18miles

A taxi ride costs $$ 3$ plus $$ 2$ for each mile driven. You spend $$ 39$ on a taxi. This can be modeled by the equation $2 m + 3 = 39$ , where $m$ represents the number of miles driven. How long was your taxi ride?

The correct option is A
$18 m i$

Solve the equation:
$2 m + 3 = 39$
Transfer the constant to the RHS, We get
$2 m = 39 - 3 2 m = 36$
Divide both sides of the equation by $2$ , We get
$m = 18$
Since, $m$ denotes the number of miles, the vehicle drove for $18$ $m i l e s$