Q. 234.5( 6 Votes )

# Solve the followi

Answer :

Given : the following systems of equations: ...... (1) ...... (2)
To find : The value of x and y.
Solution :
Take The equations become:
6u=7v+3
6u-7v=3 ...... (3)
And, ⇒ 3u=2v
3u-2v=0 ...... (4)
To find the value of u and v,
Multiply eq. 4 with 2 and subtract it from eq. 3
⇒ 6u-7v-2(3u-2v)=3-0
⇒ 6u-7v-6u+4v=3
⇒ -3v=3
⇒ v=-1
Put the value of v in eq. 4 to get,
⇒ 3u-2(-1)=0
⇒ 3u+2=0
⇒ 3u=-2 Now, ⇒ 3 = -2(x+y)
⇒ 3=-2x-2y  ..... (5) ⇒ x-y=-1 .... (6)
Multiply eq. 6 with 2 and add to eq. 5
⇒ 2(x-y)+(-2x-2y)=-2+3
⇒ -2y-2y-2x-2y=1
⇒ -4y=1
⇒ Now put the value of y in eq. 6 to get     Hence the values are .

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Two Stories about Flying39 mins  Resistors in Parallel39 mins  Transportation in One Shot42 mins  Resistors in Series42 mins  Human Reproduction in One Shot45 mins  Extraction of Metal56 mins  Outcomes of Democracy43 mins  Refraction of Light-241 mins  What is Refraction of Light?46 mins  Reflection of light-238 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Solve each of theRS Aggarwal - Mathematics

If 2x – 3y = 7 anRD Sharma - Mathematics

Solve the followiRD Sharma - Mathematics