Question

Solve the following equations simultaneously:
by substitution
3x- 2y =7
4x+y =13

Answer 1

Answer:

y=1

x=3

Step-by-step explanation:

4x +y = 13 --i

3x - 2y=7 --ii

=> 3x = 7+2y

=> x = (7+2y)/3 --iii

substituting x's value in (i)

4(7+2y)/3 + y = 13

=> (28 + 8y + 3y)/3 = 13

=> 28 + 11y = 13*3

=> 28 + 11y = 39

=> 11y = 39 - 28

=> 11y = 11

=> y = 1

Substituting y=1 in (iii)

=> x = [7 + 2(1)]/3

=> x = (7+2)/3

=> x = 9/3

=> x = 3