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3 years ago

If the first equation is multiplied by 3 and then the equations are added, the result is _____.

Mathematics

2 answers:

True [87]3 years ago

5 0

Answer: The correct option is (B) $10x=7.$

Step-by-step explanation: The given equations are :

$3x+y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-3y=-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

We are to select the correct result if the first equation is multiplied by 3 and then added to the second equation.

Now, multiplying equation (i) by 3, we get

$3(3x+y)=3\times 3\\\\\Rightarrow 9x+3y=9~~~~~~~~~~~~~~~~~~~~(iii)$

adding equation (iii) to equation (ii), we get

$(9x+3y)+(x-3y)=9+(-2)\\\\\Rightarrow 9x+3y+x-3y=9-2\\\\\Rightarrow 10x=7.$

Thus, the required result is $10x=7.$

Option (B) is CORRECT.

GrogVix [38]3 years ago

3 0

10x=7
x=7/10, you could work backwards to find y if it asked

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