Question

Solve the following pair of linear
equations by substitution method.
3x – 2y = 5
12x - 8y = 10
Discuss the consistency/inconsistency of
the pair of lines.
CE​

Answer 1

Answer:

only as example

Step-by-step explanation:

Equation 1: 3x+2y=53x+2y=5

Equation 2:2x-3y=72x−3y=7

We are supposed to solve the system of equations using substitution method

Take out the value of y from equation 1:

3x+2y=53x+2y=5

y=\frac{5-3x}{2}y=

2

5−3x

---A

Substitute the value of y in 2

2x-3(\frac{5-3x}{2})=72x−3(

2

5−3x

)=7

2x-7.5+4.5x=72x−7.5+4.5x=7

6.5x=14.56.5x=14.5

x=\frac{14.5}{6.5}x=

6.5

14.5

x=2.23x=2.23

Substitute the value of x in A

y = \frac{5-3(2.23)}{2}y=

2

5−3(2.23)

y=-0.845y=−0.845

Hence The solution is (2.23,-0.845)

#Learn more :

2x + 2y = 10

3x - 3y= 16