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Lostsunrise [7]
2 years ago
9

Solve the following system of equations. y = -2x - 9 and 2x + 3y = -9

Mathematics
1 answer:
Stella [2.4K]2 years ago
8 0
Concerning the interrogate, the retort to such is identified as the following,,

Convert the Slope-Intercept Form to General Form:
Y = -2x - 9 ==> 2x + y = -9

Evaluate:
2x + y = -9
2x + 3y = -9

Multiply the X factors by each other, making one of the products opposite:

-2(2x + y) = -9 ==> -4x - 2y = 18
2(2x + 3y) = -9 ==> 4x + 6y = -18

Add the expressions:
-4x - 2y = 18
4x + 6y = -18
————————
4y = 0
Y = 0

Now, substitute the zero within one of the equations:
2x + 3y = -9
2x + 3(0) = -9
2x = -9
X = -4.5

Thus, (-4.5,0)
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If the sum of four consecutive numbers is 854, what is the third one?
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Answer:

214

Step-by-step explanation:

The set up would be x + (x + 1) + (x + 2) + (x + 3) = 854, naturally as the numbers are consecutive. Solving for x:

x + (x + 1) + (x + 2) + (x + 3) = 854,

x + x + 1 + x + 2 + x + 3 = 854,

4x + 1 + 2 + 3 = 854,

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x = 848/4 = 212

The third number then should be 212 + 2 = 214

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Step-by-step explanation:

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425 is decreased to 319.

The above statement means that a number should be deducted from 425 to get the difference of 319.

Let x be the unknown number.

425 - x = 319
425 - 319 = x
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106 is the unknown number.

It can be phrased like this: 425 decreased by 106 is 319.
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