In a math class there are 8 male students and 7 female students. A
2 answers:
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<u>Answer:</u>
- x = 5
- y = 3
<u>Solution:</u>
- => x + 4y = 17
-x - 6y = -23
- => -2y = -6
- => y = 3
<u>Now, let's substitute the value of y into the first equation.</u>
- x + 4y = 17
- => x + 4(3) = 17
- => x + 12 = 17
- => x = 5
<u>Let's check our answer to make sure it is correct.</u>
<u>Check:</u>
- -x - 6y = -23
- => -(5) - 6(3) = -23
- => -5 - 18 = -23
- => -23 = -23
Hence, this is proven correct.
Hoped this helped.
Answer:
Step-by-step explanation:
( Being vertically opposite angles)
Vertically opposite angles are always equal.
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change it's sign
⇒
Collect like terms
⇒
Subtract 18 from 50
⇒
Divide both sides of the equation by 2
⇒
Calculate
⇒
The value of x is 16
Now, let's find value of m<AFD :
( sum of angle in straight line )
plug the value of x
⇒
Multiply the numbers
⇒
Add the numbers
⇒
Move constant to R.H.S and change it's sign
⇒
Subtract 98 from 180
⇒
Value of m<AFD = 82
Hope I helped!
Best regards!!