4x-5y=5 -0.08+0.10y=0.10 how many solution or there to the system of equations?

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.

Step-by-step explanation:

The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,

Substitute,