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-BARSIC- [3]
3 years ago
10

Solve the linear system of equations using the linear combination method. 4x-9y=20 2x-6y=16

Mathematics
1 answer:
maxonik [38]3 years ago
3 0

The solution is (-4,4)

Step-by-step explanation:

Given equations are:

4x-9y = 20\ \ \ \ Eqn1\\2x-6x = 16\ \ \ \ Eqn2

In linear combination method, we have to make coefficients of any one variable opposites by multiplying with an integer

So multiplying 2nd equation by -2

-2(2x-6y=16)\\-4x+6y=-32\ \ \ \ Eqn3

Adding Equation 1 and Equation 3:

4x-9y-4x+12y = 20-32\\3y = -12

Dividing both sides by 3

\frac{3y}{3} = \frac{-12}{3}\\y = -4

Putting y=-4 in equation 1

4x-9(-4) = 20\\4x +36= 20\\4x = 20-36\\4x = -16

Dividing both sides by 4

\frac{4x}{4} = \frac{-16}{4}\\x = -4

Hence,

The solution is (-4,4)

Keywords: Linear combination, linear equations

Learn more about linear combination method at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

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LekaFEV [45]

Answer:

x = 5/42 or 0.119

Step-by-step explanation:

log(6x) + log(14) = 1

log(6x × 14) = 1

log(84x) =

84x = 10¹

84x = 10

x = 10/84

x = 5/42 or 0.119

8 0
3 years ago
What is the slope formula of (4,2) and (7, 6.5)
Lady_Fox [76]

Suppose the given coordinates are represented as,

\begin{gathered} (x_1,y_1)=(4,2) \\ (x_2,y_2)=(7,6.5) \end{gathered}

Then, the formula for slope can be expressed as,

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{6.5-2}{7-4} \end{gathered}

Solving it,

m=\frac{4.5}{3}=1.5

The slope is 1.5.

The formula of (10, 8) anjd (-5,8) is

m=\frac{8-8}{-5-10}

3 0
1 year ago
A 100-meter-long christmas train needs 30 seconds to cross a 400-meter-long bridge. assuming the train goes at a steady speed, h
san4es73 [151]
Length of train : 100
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time taken by the train to cross : 30

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3 years ago
Situation A
Colt1911 [192]

The equation a = 100 + 75d represents Maria's  account balance.

<u>Step-by-step explanation:</u>

Given that,

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  • She deposits $75 into this  savings account every  two-weeks.

You need to find the equation to represent Maria's  account balance, a after she has  completed d deposits.

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Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.

<u>To find the amount that was deposited after the initial deposit :</u>

⇒ $75 × number of times Maria deposited.

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The equation is written as,

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Hence the equation a = 100 + 75d represents Maria's  account balance.

7 0
3 years ago
Please <br> simplify 7^6 √ 7^2
daser333 [38]

Answer:

Step-by-step explanation:

The tough part of this question is figuring out what to do with √(7^2). You could do it by expanding the square. √(7^2) = √49

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6 0
2 years ago
Read 2 more answers
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