Answer:
A) no solution
Step-by-step explanation:
The given system of equations are:
4x - 5y = 5
-0.08x + 0.10y = 0.10
Let's find the slope of the each equation.
4x - 5y = 5
Write the equation in slope-intercept form y = mx + b.
-5y = -4x + 5
Dividing both sides by -5, we get
y = -4/-5 x +5/-5
y = 0.8x - 1
Here slope = 0.8 and y-intercept (b) = -1
-0.08x + 0.10y = 0.10
0.10y = 0.08x + 0.10
Divide both side by 0.10, we get
y = 0.8x + 1
Here the slope = 0.8 and y-intercept (b) = 1
From the both the equations, the slopes are the same and y-intercepts are different.
Therefore, the given system of equations are parallel.
If the system of equations are parallel, then there is no solution.
