Answer: x = —1.9867 and y = —0.0399
Step-by-step explanation: What we have here is a pair of simultaneous equations which are;
3x + y = —6 ———(1)
6.2 + 5y = 6 ———(2)
From equation (1), we shall make y the subject of the equation. So, let
y = —6 —3x
Substitute for the value of y into equation (2)
6.2 + 5(—6 —3x) = 6
6.2 —30 —15x = 6
Collecting like terms we now have
6.2 —30 —6 = 15x
Remember that when a negative value crosses to the other side of an equation it becomes positive and vice versa
—29.8 = 15x
Divide both sides of the equation by 15
x = —1.9867
We can now substitute for the value of x into equation (1)
3x + y = —6
3(—1.9867) + y = —6
—5.9601 + y = —6
By collecting like terms we now have
y = —6 + 5.9601
y = —0.0399.
Hence x = —1.9867 and y = —0.0399
