Answer:
A solution of the system of equation given in the question is;
(2) x = 7 and y = 23
Step-by-step 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.
