Question

(PLS HELP ITS EASY) which of the following is a solution to the system of equations shown below?

1 x=10 and y=21. 2x+3y=83
2 x=7 and y=23. y=2x+9
3 x= -4 and y=1
4 x=4 and y=25

Answer 1

A solution of the system of equation given in the question is;

(2) x = 7 and y = 23

Explanation:

The given system of equation are;

2·x + 3·y = 83...(1)

y = 2·x + 9...(2)

Substituting the value of y = 2·x + 9 from equation (2) into equation (1) gives;

2·x + 3·y = 2·x + 3 × (2·x + 9) = 83

∴ 2·x + 6·x + 27 = 83

8·x = 83 - 27 = 56

x = 56/8 = 7

x = 7

By substituting the value of x = 7 derived above into equation (1), we have;

y = 2·x + 9

Where;

x = 7

y = 2 × 7 + 9 = 14 + 9 = 23

y = 23.