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Musya8 [376]
3 years ago
13

Solve each system by graphing, check your answer Y=3x+13 Y=x-3

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer:

x = -8

Y = -11

Step-by-step explanation:

Given

Y = 3x + 13

Y = x - 3

Substitute x - 3 for Y in the first equation

We have

Y = 3x + 13

x - 3 = 3x + 13

Add 3 to both sides

x - 3 + 3 = 3x + 13 + 3

x = 3x + 16

Subtract 3x from both sides

x - 3x = 3x - 3x + 16

-2x = 16

Divide both sides by -2

x = 16/-2

x = -8

Now substitute -8 for x in any of the above equations to get Y.

Using the second equation, we have

Y = x - 3

Y = -8 - 3

Y = -11

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The value is positive six
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Divide. Write your answer as a fraction or a mixed number in simplest form.
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Answer:

2 4/25 hope that helped

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3 years ago
Given the median line QR and trapezoid MNOP, what is the value of x? MN=17 QR=x+12 OP=5x-14
kari74 [83]
<u><em>Answer:</em></u>
x = 7
MN (first base) = 17 units
OP (second base) = 21 units
QR (median) = 19 units

<u><em>Explanation:</em></u>
In a trapezium, the length of the median is equal to half the sum of the two bases.

<u>From the given, we have:</u>
MN (first base) = 17 units
OP (second base) = 5x - 14 units
QR (median) = x + 12 units

<u>Applying the above rule:</u>
median = 0.5 (first base + second base)
x + 12 = 0.5 (17+5x-14)
2(x+12) = 17+5x-14
2x + 24 = 3 + 5x
24-3 = 5x-2x
21 = 3x
x = \frac{21}{3}
x = 7

<u>Based on the above, the lengths would be:</u>
MN (first base) = 17 units
OP (second base) = 5x - 14 = 5(7) - 14 = 21 units
QR (median) = x + 12 = 7 + 12 = 19 units

Hope this helps :)
7 0
3 years ago
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In a class there are 75 students if there are 27 male students then the ratio of the number of female students to the total numb
seropon [69]

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Step-by-step explanation:

the 48 is the number of females

5 0
3 years ago
Question 5 (1 point)
Airida [17]

Answer:

y = 90

Step-by-step explanation:

If y varies jointly as x and z, then;

y = kxz

If y = 18 when x = 2 and z = 3

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y = kxz

y = 3(5)(6)

y = 15*6

y = 90

Hence the value of y is 90

3 0
3 years ago
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