Answer:
(x, y) = (- 2, 5)
Step-by-step explanation:
given the 2 equations
3y = 11 - 2x → (1)
3x = y - 11 → (2)
Rearrange (2) expressing y in terms of x
add 11 to both sides
y = 3x + 11 → (3)
Substitute y = 3x + 11 into (1)
3(3x + 11) = 11 - 2x
9x + 33 = 11 - 2x ( add 2x to both sides )
11x + 33 = 11 ( subtract 33 from both sides )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 in (3) for corresponding value of y
y = (3 × - 2) + 11 = - 6 + 11 = 5
As a check
substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.
(1) : left side = (3 × 5) = 15
right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right
(2) : left side = (3 × - 2 ) = - 6
right side = 5 - 11 = - 6 ⇒ left = right
solution = (- 2, 5 )
Answer:
AE = 15 cm; ED = 18 cm; AD = 15 cm (given)
Step-by-step explanation:
ΔBEC ~ ΔAED so ...
AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE
Substituting given numbers (lengths in centimeters), we have ...
15/10 = 1 + 5/BE
1/2 = 5/BE
BE = 10
Similarly, ...
1/2 = 6/CE
CE = 12
Then the unknown sides are ...
AE = AB + BE = 5 + 10 = 15 . . . cm
ED = CE + CD = 12 + 6 = 18 . . . cm
For the
writer, <span><span>there are 20
1.
</span>1
+ 39 = 40</span>
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2.
</span>2
+ 38 = 40</span>
<span><span>3.
</span>3
+ 37 = 40</span>
<span><span>4.
</span>4
+ 36 = 40</span>
<span><span>
5.
</span>5
+ 35 = 40</span>
<span><span>
6.
</span>6
+ 34 = 40</span>
<span><span>7.
</span>7
+ 33 = 40</span>
<span><span>8.
</span>8
+ 32 = 40</span>
<span><span>
9.
</span>9
+ 31 = 40</span>
<span><span>10.
</span>10
+ 30 = 40</span>
<span><span>
11.
</span>11
+ 29 = 40</span>
<span><span>
12.
</span>12
+ 28 = 40</span>
<span><span>13.
</span>13
+ 27 = 40</span>
<span><span>
14.
</span>14
+ 26 = 40</span>
<span><span>
15.
</span>15
+ 25 = 40</span>
<span><span>
16.
</span>16
+ 24 = 40</span>
<span><span>
17.
</span>17
+ 23 = 40</span>
<span><span>
18.
</span>18
+ 22 = 40</span>
<span><span>
19.
</span>19
+ 21 = 40</span>
<span><span>
20.
</span>20
+ 20 = 40</span>
X hour and 7 dollars per hour
x = hour
7(x) is your function
thank you for Anlian for pointing it out.. there is 4 hours
so x = 4
plug in 4 in x. 7(4)
7 x 4 = 28
28 is your answer
hope this helps