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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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3 years ago

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4 years ago

Write the linear equation that passes through the point (-6,1) with a slow of 1/2.

mr_godi [17]

Answer:

y = 1/2 x + 4

Explanation:

The slope intercept form of an equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Now in our case the slope m = 1/2; therefore,

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Now we just need to find the value of b.

Luckily we are told that the line passes through the point (-6, 1), which means that the above equation must satisfy x = -6 given y = 1.

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which simplifies to give

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adding 3 to both sides gives

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1 year ago

Solve. 2x + 6 ≥ -8 A.) x ≥ -8 B.) x ≤ -8 C.) x ≥ -5 D.) x ≤ -5

Anastaziya [24]

The answer is not there.

2x + 6 = -8
2x = -8-6
x = -14/2
x = -7
replace = with more than and equal to sign

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4 years ago