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3 years ago

Heather has to solve this system of equations using elimination. What should be her first step? 3x+6y = 12 x+5y = 10

Mathematics

1 answer:

Andreyy893 years ago

4 0

Answer:

Multiply he second equation by -3

The solution is (0, 2)

Step-by-step explanation:

When doing this, you make it so you can eliminate the x variables...

start with

3x + 6y = 12

x + 5y = 10

Now multiply the second equation by -3

-3(x + 5y = 10) becomes...

-3x - 15y - 30

Now our system is

3x + 6y = 12

-3x - 15y = -30

When we add them together, we get

-9y = -18

***The x variable is gone, so we have eliminated that

Here is the final solution in case you need it..

-9y = -18 solve for y..

y = 2 (divide by -9 on both sides to isolate y)

There for x is

x + 5(2) = 10

x + 10 = 10

x = 0

so the solution is (0, 2)

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Step-by-step explanation:

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3 years ago

On a road trip, Sara’s brother drove 47.5% of the trip, and Sara drove 80% of the remainder. If Sara drove for 4 hours and 12 mi

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4 years ago

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3 years ago

Read 2 more answers

One can convert temperature from Fahrenheit into Newton using the formula N=11/60(F-32) . What is the temperature in Fahrenheit

Rasek [7]

We are given

$N=\frac{11}{60} (F-32)$

Since, we have to solve for F

so, we will isolate F on anyone side

step-1:

Multiply both sides by 60

$60\times N=60\times \frac{11}{60} (F-32)$

$60N=11 (F-32)$

step-2:

Divide both sides by 11

$\frac{60N}{11} =\frac{11(F-32)}{11}$

$\frac{60}{11}N =F-32$

step-3:

Add both sides by 32

$\frac{60}{11}N+32 =F-32+32$

$\frac{60}{11}N+32 =F$

so, we get

$F=\frac{60}{11}N+32$ ................Answer

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3 years ago

(b) Given that

Gnesinka [82]

Answer:n=-2 or n=4

Step-by-step explanation:

Q is not inversible if det(Q)=0

$\left|\begin{array}{ccc}6&7&-1\\3&n&5\\9&11&n\end{array}\right| =0\\\\\\\\6(n^2-55)-3(7n+11)+9(35+n)=0\\\\n^2-2n-8=0\\\\\Delta=36=6^2\\\\n=\dfrac{2-6}{2} =-2\ or\ n=\dfrac{2+6}{2}=4\\$

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3 years ago