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Mumz [18]
2 years ago
8

Solve the simultaneous equations

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
3 0

Answer:

x = -2, y = 3

Step-by-step explanation:

2x + 3y = 5

5x - 2y = -16

In order to find the value of a variable, we must eliminate the other variable by multiplying the equations to get the same coefficient.

We can multiply the first equation by 5 and the second one by 2 to get the same coefficient for x, the equations then become:

10x + 15y = 25

10x - 4y = -32

Now we can subtract:

19y = 57

y = 3

Since we know the value of y, we can substitute it into one of the original equations:

2x + 3(3) = 5

2x + 9 = 5

2x = -4

x = -2

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GIVEN BRAINLIEST, 5 STARS, + THANKS
Ede4ka [16]

Answer:

<u>Option B. Side YZ is the same length as side Y'X'.</u>

Step-by-step explanation:

XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'.

So, X' is the image of point X

     Y' is the image of point Y

     Z' is the image of point Z

And ΔXYZ ≅ ΔX'YΔ'Z'

And the corresponding length are congruent

We will check the options:

A. X has the same measure as X'. ⇒ True

B. Side YZ is the same length as side Y'X'. ⇒ Wrong

Because YZ will be translated to Y'Z'

C. Z has the same measure as Z'. ⇒ True

D. Side XZ is the same length as side X'Z'. ⇒ True

<u>So, The answer is option B. Side YZ is the same length as side Y'X'.</u>

8 0
3 years ago
What is .75 as a fraction in simplest form
S_A_V [24]
3/4 is as simple as it gets
4 0
3 years ago
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Which function represents the quadratic function f(x) = x^2 after a vertical stretch by a factor of number 2?
Zielflug [23.3K]
C is your answer. The coefficient on the x value is always a stretch factor.
3 0
2 years ago
Please answer the problem and show your work.Thank you.
Vinvika [58]

Answer:

8. m=6

9.  x=2; Alyssa is incorrect because she subtracted 8 from 16 when in reality she should have divided 16 by 8 to get 2. The real solution is 2 because 8 times 2 is equal to 16.

Step-by-step explanation:

Question 8:

2m-6=m

-2m    -2m     (subtract 2m from both sides)

<u>-6</u>=<u>-m</u>  

-       -     (divide both sides by the negative)

m=6

Question 9:

<u>8x</u>=<u>16  </u>              (divide both sides of the equation by 8)

8     8

x=2

8 0
1 year ago
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Find the value of y . Please help trying to finish ASAP :)) will give brainliest
slavikrds [6]
Since A (area of circle = C) is given = 148
Where we assume:
Y represents radius of the circle (r)
X represents diameter of the circle (D)
Pi (π) = 3.14
A = 2 * π * y
148 = 2 * 3.14 * y
148 = 6.28 * y
y = 148/6.28
So, y = 23.56

D = 2 * y
D = 2 * 23.56
So, D = 47.12

Assume A is unknown (not given as 148)
A = π * y^2
A = 3.14 * (23.56)^2
A = 3.14 * 47.12
So, A = 147.95 (approx. A = 148)
3 0
3 years ago
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