If x= 4y + 3 and y = -2x - 3, what is the value of xy?
2 answers:
<u>Giv</u><u>en</u><u> that</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u><u> </u>
→ x = 4y + 3 equation 1st
→ y = -2x -3 equation 2nd .
Now putting the value of x from first equation to second equation.
→ y = -2(4y +3 ) -3
→ y = -8y - 6 - 3
→ y + 8y = -9
→ 9y = -9
→ y = -1
Now putting the value of y in equation first .
→ x = 4(-1) + 3
→ x = -4 + 3
→ x = -1
Now multiply and X and y.
→ x.y = -1(-1)
→ x.y = 1 .
<h3>
Given, </h3>
- x = 4y + 3 ⠀⠀⠀⠀⠀⠀ i
- y = -2x - 3⠀⠀⠀⠀⠀⠀⠀⠀ii
<h3>To find;</h3>
<h2>
</h2>
Putting the value of x in ii, we get ;
➝ y = - 2(4y+3) - 3
➝ y = - 8y - 6 - 3
➝ y = - 8y - 9
➝ y + 8y = - 9
➝ 9y = - 9
∴ y = - 1
Putting the value of y in i, we get ;
➝ x = 4y + 3
➝ x = 4(-1) + 3
➝ x = - 4 + 3
∴ x = - 1
<h3>Now, </h3>
➛ xy = (- 1)(-1)
⛬ xy = 1
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