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2 years ago

Solve the system using elimination. x + 2y = –6 3x + 8y = –20 (–4, –1) (–4, 4) (–1, –4) (3, 1)

Mathematics

2 answers:

Orlov [11]2 years ago

6 0

$x + 2y = - 6 > > > 3x = - 18 - 6y$
$- 18 - 6y + 8y = - 20 > > > 2y = - 2 > > y = - 1$
so x=4

LiRa [457]2 years ago

3 0

Answer: The required solution is x = -4 and y = -1.

Step-by-step explanation: We are given to solve the following system of equations by the method of Elimination :

$x+2y=-6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x+8y=-20~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Multiplying equation (i) by 3 , we have

$3(x+2y)=-6\times3\\\\\Rightarrow 3x+6y=-18~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Subtracting equation (iii) from equation (ii), we get

$(3x+8y)-(3x+6y)=-20-(-18)\\\\\Rightarrow 2y=-20+18\\\\\Rightarrow 2y=-2\\\\\Rightarrow y=-\dfrac{2}{2}\\\\\Rightarrow y=-1.$

From equation (i), we get

$x+2\times(-1)=-6\\\\\Rightarrow x-2=-6\\\\\Rightarrow x=-6+2\\\\\Rightarrow x=-4.$

Thus, the required solution is x = -4 and y = -1.

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2 years ago

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour. Use the

avanturin [10]

<h3>It costs $ 22.5 for mike and his friend to rent paddle board for 3 hours</h3><h3>Mike has $ 2.5 remaining after rental</h3>

<em><u>Solution:</u></em>

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2 years ago

Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she

liubo4ka [24]

Answer:

1.675 lb

Step-by-step explanation:

Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

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8 0

2 years ago

Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.

Serga [27]

Answer:

Yes

Step-by-step explanation:

ΔMNL ≅ ΔQNL by ASA or AAS

by ASA

Proof:

∠ LNM = ∠LNQ =90

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By AAS

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∠Q = 180 -122 =

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∠MNL =∠QNL = 90

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8 0

2 years ago