Question

Solve the system of equations. \begin{aligned} & -2x+15y = -24 \\\\ & 2x+9y=24 \end{aligned} ​ −2x+15y=−24 2x+9y=24 ​

Answer 1

(12, 0)

Explanation:

Given the system of equations;

-2x+15y = - 24 .....1

2x + 9y = 24 ....2

Using Elimination method

Add both equations

15y + 9y = -24 + 24

24y = 0

y = 0/24

y = 0

Substitute y = 0 into 2

From 2;

2x + 9y = 24

2x + 9(0) = 24

2x = 24

x = 24/2

x = 12

Hence the solution to the system of equation is (12, 0)