Question

Consider this system of linear equations. 4x + 3y =5 Graph the system, and then mark its solution.

Answer 1

Given that there is no second equation, here is a solved version of the standard form equation converted to slope-intercept.

Simplifying

4x + 3y = 5

Solving

4x + 3y = 5

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 = 5 + -3y

Combine like terms: 3y + -3y = 0

4x + 0 = 5 + -3y

4x = 5 + -3y

Divide each side by '4'.

x = 1.25 + -0.75y

Simplifying

x = 1.25 + -0.75y

Hope this helps.