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3 years ago

Which statements about this system of equations are true? CHECK ALL THAT APPLY

Mathematics

2 answers:

Serga [27]3 years ago

7 0

True staments are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations

Solution:

Given system of equations are:

x + 6y = 16 ----- eqn 1

8x - 6y = -2 ---- eqn 2

We have to solve the system of equations

When we add eqn 1 and eqn 2, then y term will get eliminated

Let us add eqn 1 and eqn 2

x + 6y + 8x - 6y = 16 - 2

6y and -6y will get eliminated

Thus, y-variable will be eliminated when adding the system of equations

x + 8x = 14

9x = 14

x = 1.55

Substitute x = 1.55 in eqn 1

1.55 + 6y = 16

6y = 16 - 1.55

6y = 14.45

y = 2.408

Thus the solution is x = 1.55 and y = 2.408

There is only one solution to the system of equations

aleksandrvk [35]3 years ago

3 0

Answer:The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations

Step-by-step explanation:

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MA_775_DIABLO [31]

Question 1

cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17

Answer: Choice C) 15/17

=============================================

Question 2

sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25

So angle E is the answer

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Question 3

AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse

cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7

Answer: 11.7

=============================================

Question 4

x = length of board

cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5

Answer: 10.5

=============================================

Question 5

112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg

tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6

Answer: 210.6

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Step-by-step explanation:

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vredina [299]

Answer:

see explanation

Step-by-step explanation:

Let ∠4 be x then ∠6 is $\frac{1}{8}$ x

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x + $\frac{1}{8}$ x = 180

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