Question

<-5x + 4y = 20
10x-8y=-4

Answer 1

No solution (∅)

Explanation:

I added a photo of my solution:

Answer 2

To solve the system of equations:

-5x + 4y = 20 (Equation 1)

10x - 8y = -4 (Equation 2)

We can use the elimination method to eliminate one of the variables. Multiplying Equation 1 by 2, we get:

-10x + 8y = 40 (Equation 3)

Now, we can add Equation 2 and Equation 3 to eliminate y:

(10x - 8y) + (-10x + 8y) = -4 + 40

0 = 36

Since 0 does not equal 36, this system of equations has no solution. This means that the two equations represent two lines that do not intersect, so there is no point that satisfies both equations at the same time. Geometrically, this means that the two lines are parallel.