To find the solution of the system of equations:
2x + 5y = 0
3x - 2y = 19
We can use either substitution or elimination method. Here's how to solve it using the elimination method:
1. Multiply the first equation by 2 to get rid of the coefficient of x:
4x + 10y = 0
2. Multiply the second equation by 5 to get rid of the coefficient of y:
15x - 10y = 95
3. Add the two equations together:
4x + 10y = 0
+ 15x - 10y = 95
______________
19x = 95
4. Solve for x:
x = 5
5. Substitute x = 5 into the first equation to solve for y:
2x + 5y = 0
2(5) + 5y = 0
10 + 5y = 0
5y = -10
y = -2
Therefore, the solution to the system of equations is (x, y) = (5, -2).
2x +5y=0
3x -2y=19
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