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Tom [10]
3 years ago
8

Solving by elimination 5x+2y= -3 3x+3y=9 please help me solve x and y

Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0
1) -3(5x+2y=-3)⇒ -15x-6y=9
                                             ⇒ -9x=27
     2(3x+3y=9)⇒ 6x+6y=18

2) -9x/-9=27/-9 ⇒ x=-3 

3) 3(-3)+3y=9⇒ -9+9+3y=9+9⇒ 3y/3=18/3⇒ y=6

Answer: (-3,6)

Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. <em>Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.
</em>
Step 2) Once y is eliminated, solve for x.

Step 3) Now plug x back into one of the original equations and solve for y. <em>Note: Plug x back into one of the original equations, not the equations that were changed by multiplication,</em> 

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Work out the equation of<br> the line that goes through<br> (3, 2) and (-1, 10)
Natali5045456 [20]

Answer:

The\,\,equation\,\,will\,\,be\,\,2x+y=8

Step-by-step explanation:

Let, A=(3,2)

      B=(-1,10)

So, The equation will be

\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8

Hope you have understood this.....            

ask me if you have any confusion.....            

if you liked it pls mark it as the brainliest

5 0
2 years ago
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AURORKA [14]
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4 0
3 years ago
Construct a 95​% confidence interval to estimate the population mean using the data below. x overbarequals37 sigmaequals10 nequa
kap26 [50]

Answer:

With 95% confidence when n equals 44, the population mean is between a lower limit of 33.96 and an upper limit of 40.04

Step-by-step explanation:

Confidence Interval = mean + or - Error margin (E)

mean = 37

sd = 10

n = 44

degree of freedom = n - 1 = 44 - 1 = 43

t-value corresponding to 43 degrees of freedom and 95% confidence level is 2.0165

E = t × sd/√n = 2.0165×10/√44 = 3.04

Lower limit = mean - E = 37 - 3.04 = 33.96

Upper limit = mean + E = 37 + 3.04 = 40.04

95% confidence interval is between 33.96 and 40.04

7 0
3 years ago
You buy 6 apples at $0.49/apple, 1 gallon of milk at $3.48/gallon, and 2 loaves of bread at $1.49/loaf. How much was your total
Makovka662 [10]

Answer:

Your total purchase was $9.40

Step-by-step explanation:

6 x 0.49 = 2.94

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2 x 1.49 = 2.98

2.94 + 3.48 + 2.98 = 9.4

6 0
3 years ago
Which function is non linear y-4x=1 y=2+6x^4 x-2y=7
ioda

Answer:

12

Step-by-step explanation:

43

8 0
2 years ago
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