To solve these systems of equations, we can use the substitution method.
1) 3x + 4y = 24-1.5 + y = -3
First, solve the second equation for y:y = -3 + 1.5y = -1.5
Now substitute y = -1.5 into the first equation:3x + 4(-1.5) = 243x - 6 = 243x = 30x = 10
So the solution to the first system is x = 10, y = -1.5.
2) x + 2y = -6x + 2y = 4
These equations are inconsistent since they cannot both be true at the same time.
To solve these systems of equations, we can use the substitution method.
1) 3x + 4y = 24
-1.5 + y = -3
First, solve the second equation for y:
y = -3 + 1.5
y = -1.5
Now substitute y = -1.5 into the first equation:
3x + 4(-1.5) = 24
3x - 6 = 24
3x = 30
x = 10
So the solution to the first system is x = 10, y = -1.5.
2) x + 2y = -6
x + 2y = 4
These equations are inconsistent since they cannot both be true at the same time.