Question

Solve the pair of linear equations 2x + 3y = 10 and 3x - y = 4 by the
method of substitution.​

Answer 1

Answer:

2

Step-by-step explanation:

2x+3y=10

⇨y=(10-2x)/3

substituting the value to the second equation,

3x-(10-2x)/3=4

⇨(9x-10+2x)/3=4

⇨11x-10=12

⇨x=22/11=2

Answer 2

Answer:

x = 2

y = 2

Step-by-step explanation:

From equation 1:-

2x +3y = 10

2x = 10-3y

x = (10-3y)/2 ------eq3

Put value of x in 2nd equation:-

3{(10-3y)/2} - y = 4

15 - (9/2)y - y = 4

15 - 4.5y - y = 4

15 - 4 = 5.5y

5.5y = 11

y = 11/5.5

y = 2 _______Ans

Put y = 2 in eq 3,

x = 5 - 3(2)/2

x = 2 ________Ans