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irina1246 [14]
2 years ago
12

Solve the system of equations: (1) x - y = 3 (2) 7x - y = -3

Mathematics
2 answers:
SVETLANKA909090 [29]2 years ago
8 0

Answer:

x=-1 y=-4

Step-by-step explanation:

answer is in the photo above

arlik [135]2 years ago
4 0

Answer:

x= 70

and y = 67 then

-70-67 =-3

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Sabendo que "K" satisfaz a equação {2(k-8) + 3(-k+1) = -4k +11} Os valores reais de x que satisfazem a equação 15x² - kx + 1 = 0
erastova [34]

Answer:

D) 1/5 e 1/3

Step-by-step explanation:

You have the following quadratic equation:

15x^2-kx+1=0           (1)

In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:

2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8

Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:

15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}

Then, the roots of the equation (1) are

D) 1/5 e 1/3

5 0
3 years ago
The perimeter of a rectangle is 222 millimeters.If the length is 60 millimeters,what is the width of the rectangle?
andrezito [222]
Half of perimeter (or length+ width) is:
222 mm /2= 111 mm.

111 mm- 60 mm= 51 mm

The width of the rectangle is 51 mm~
4 0
3 years ago
Read 2 more answers
Pls help, i appreciate
OleMash [197]

Answer:

2 units^2

Step-by-step explanation:

The area of a triangle is given by the formula

A = 1/2 bh where b is the length of the base and h is the height

b = 2 and h =2

A = 1/2 (2) * (2)

A = 1/2*4

A = 2 units^2

3 0
3 years ago
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Find constant of variation k if y varies directly as x, when y = 3 when x = 8. K =?
posledela

Answer:-5

Step-by-step explanation:

You have your y and k because there + you can - and you get a -5

8 0
3 years ago
In which quadrant does the terminal side of a 314° angle lie?
alexandr1967 [171]
We know that

I Quadrant -----> <span>for angles between 0 degrees and 90 degrees
</span>II Quadrant-----> for angles between 90 degrees and 180 degrees
III Quadrant-----> for angles between 180 degrees and 270 degrees
iV Quadrant-----> for angles between 270 degrees and 360 degrees

therefore

314 degrees belong to the IV quadrant

5 0
3 years ago
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