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2 years ago

Is (4,2) a solution of the system y=x-2 and y=3x+4

Mathematics

2 answers:

Fed [463]2 years ago

5 0

Answer:

The answer to your question is No, it is not a solution

Step-by-step explanation:

Data

Point (4, 2)

y = x - 2 Equation l

y = 3x + 4 Equation ll

-Solve the system by equality

x - 2 = 3x + 4

-Solve for x

x - 3x = 4 + 2

- 2x = 6

-Result

x = 6/-2

x = -3

-Find y

y = -3 - 2

-Result

y = -5

The solution to this system is (-3, -5), (4,2) is not a solution.

babunello [35]2 years ago

4 0

Answer:

False

Step-by-step explanation:

y=x-2 y=3x+4

Substitute the point into both equations and see if it is true

2=4-2

2=2 true

and

2=3*4+4

2 = 12+4

2 =16

False

It is not a solution

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In the triangle XYZ the measure of angle YXZ is 50 degrees and the measure of angle XYZ is 75 degrees. What is the measure of an

lbvjy [14]

<h2>Answer: 55 degrees</h2>

Step-by-step explanation:

Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles $\theta$ , $\alpha$ and $\beta$ :

$\theta+\alpha+\beta=180\º$

Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:

$XYZ+YXZ+XZY=180\º$

$50\º+75\º+XZY=180\º$

$XZY=180\º-50\º-75\º$

Finally:

$XZY=55\º$

8 0

2 years ago

Read 2 more answers

Ted practices two types of swimming styles for a total of 50 minutes every day. he spends 20 minutes more practicing the breast

cluponka [151]

Answer:

see below

Step-by-step explanation:

butterfly = x minutes

breast = y minutes

total is 50 minutes

breast stroke = butterfly +20

Part A

x+y = 50

y = x+20

Part B

Substitute the second equation into the first

x+ (x+20) = 50

2x+20 = 50

2x+20-20 = 50-20

2x = 30

2x/2 = 30/2

x = 15

y = x+20

y = 20+15

y = 35 minutes

35 minutes on the breast stroke

Part C

45 minutes on the butterfly is not reasonable

We only have a total of 50 minutes

50-45 = 5

But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.

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3 years ago

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Vilka [71]

Answer:

$16.25 $15.95 $15.75

Step-by-step explanation:

because a 15% tip is $3.00

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2 years ago

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