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4 years ago

7x + 2y = -1 3x – 4y = 19

Mathematics

2 answers:

jeka944 years ago

7 0

Answer: Y = - 4 & x = 1

Step-by-step explanation:

Systems of linear equations: We will solve this using substitution but you can use 2 more ways.

7x + 2y = -1

2x - 4y = 19

Leave X alone first: -------------------

10x - 2y = 18

10x/10 = 18 + 2y/10

x = 9/5 + y/5

Solve for y:

7(9/5 + y/5) + 2y = -1

63/5 + 7y/5 + 2y - 1

63/5 + 7y/5 = 10y/5 = -1

63/5 + 17y/5 = -1 (-5/5)

17y/5 = -68/5 (cancel the 5)

y = -68/17

y = - 4 (Your Answer)

7x + 2(- 4) = -1

7x + (-8) = -1

7x = 7

x = 1

CHECK=

7(1) + 2(-4) = -1

7+ (-8) = -1.

-1=-1

navik [9.2K]4 years ago

3 0

Answer:

(1, -4).

(x = 1, y = -4).

Step-by-step explanation:

7x + 2y = -1

3x – 4y = 19 Multiply the first equation by 2:

14x + 4y = -2 Adding:

17x = 17

x = 1.

Plug this into the second equation:

3(1) - 4y = 19

-4y = 19 - 3 = 16

y = -4.

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3 years ago

Read 2 more answers

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SOVA2 [1]

Answer:P(win|regular) = 0.84

P(win|prevent) = 0.70

Conclusion: You are more likely to win by playing regular defense.

Step-by-step explanation:

Divide the regular defense wins(42) but the total of regular defense (50) and you get 0.84.

Then divide the prevent defense wins(35) by the total of prevent defense(50) and you get 0.70.

Since the regular defense is more than the prevent defense, then you are more likely to win by playing the regular defense. (:

4 0

3 years ago

What is the y-value in the solution to this system of linear equations?

erica [24]

Step-by-step explanation:

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4 0

2 years ago

Write x4 * x2 without exponents.

AveGali [126]

Hey there!

It’s very much impossible to make this equation without it being an exponent because the result has an exponent in it itself

x⁴ × x²

= (x × x × x × x) + (x × x)

≈ x⁴ ⁺ ²

≈ x⁶

Therefore, the answer should be: x⁶

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

7 0

2 years ago

A farmer outside of Clinton NC plants 20 plots of a new type of corn. The average yield for these plots is ī= 150 bushels per ac

bogdanovich [222]

Answer:

The 95% confidence interval is $(150\pm 8.8)$ .

Step-by-step explanation:

The information provided is:

$\bar x=150\\\sigma = 20\\n=20$

The critical value for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the margin of error as follows:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$=1.96\times\frac{20}{\sqrt{20}}\\\\=1.96\times 4.47214\\\\=8.7653944\\\\\approx 8.8$

Then the 95% confidence interval is:

$CI=\bar x\pm MOE$

$=150\pm 8.8$

Thus, the 95% confidence interval is $(150\pm 8.8)$ .

5 0

3 years ago