Question 3 and 4 need help
Answers
Answer:
3i.
x = 1/5 (4 y + 9)
3ii.
x = 2 y - 3
4i.
x = 3 - (3 y)/2
4ii.
x = 2 - (3 y)/2
#1
Solving by submitting method:
⇝x−2y=−3−−−(ii)
By first equation,
⇝5x−4y=9
⇝5x=9+4y
⇝x=59+4y
Now, we can find the original value of y from Eqⁿ (ii).
Finding The Value of 'x'~
⇝x−2y=−3
⇝(59+4y)−2y=−3
⇝59+4y−10y=−3
⇝59−6y=−3
⇝9−6y=−3(5)
⇝9−6y=−15
⇝−6y=−15−9
⇝−6y=−6
⇝y=−6−6
⇝y=66
⇝y=1
Now, we can find the original value of x , from Eqⁿ (I)
Finding The Value Of 'x'
⇝5x−4y=9
⇝5x−4(1)=9
⇝5x−1=9
⇝5x=9+1
⇝5x=10
⇝x=510
⇝x=5
Therefore, the values of x and y are 5 and 1 respectively.
#2
Solving by Eliminating method:
⇝4x+6y=12−−−(i)
⇝6x+9y=12−−−(ii)
Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.
⇝12x+18y=36−−−(iii)
⇝12x+18y=24−−−(iv)
Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get
⇝(12x+18y)−(12x+18y)=36−24
0 =12,
Which is a false statement.
⇝0=12,
Therefore,
The pair of equations has No Solution.