Use the substitution method to solve the system 2.5x + y= -2, 3x +2y = 0.
• (3,-2)
• (-2,3)
• infinite solutions
• no solution
To solve the system using the substitution method, we can solve one equation for one variable and substitute it into the other equation. Let's solve the first equation for y:
2.5x + y = -2
y = -2.5x - 2
Now, substitute this value of y into the second equation:
3x + 2(-2.5x - 2) = 0
3x - 5x - 4 = 0
-2x - 4 = 0
-2x = 4
x = -2
Substitute this value of x back into the first equation to find y:
2.5(-2) + y = -2
-5 + y = -2
y = -2 + 5
y = 3
Therefore, the solution to the system is (-2, 3).