Question

help!
Solve the system of equations algebraically.
4x-3y=8
5x-4y=5
a(16,21)
b many solutions
c no solution
d(17,20)

Answer 1

Solution for 4x-3y=8 equation:

Simplifying
4x + -3y = 8

Solving
4x + -3y = 8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.
4x + -3y + 3y = 8 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 8 + 3y
4x = 8 + 3y

Divide each side by '4'.
x = 2 + 0.75y

Simplifying
x = 2 + 0.75y

Answer 2

Solution for 5x-4y=5 equation:

Simplifying
5x + -4y = 5

Solving
5x + -4y = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
5x + -4y + 4y = 5 + 4y

Combine like terms: -4y + 4y = 0
5x + 0 = 5 + 4y
5x = 5 + 4y

Divide each side by '5'.
x = 1 + 0.8y

Simplifying
x = 1 + 0.8y

Answer 3

so C