Answer
no solution
Work Step by Step
Equation 1: $3y = 2x + 15$
Equation 2: $-2x + 3y = 21$
Use addition method to solve the system.
Using equation 1, subtract $2x$ from both sides:
$$3y-2x = 2x -2x+ 15$$ $$3y-2x = 15$$
Multiply this equation by $-1$:
$$[3y-2x = 15]\cdot -1$$ $$-3y+2x =- 15$$
Add this resulting equation to equation 2:
$$-3y+2x =- 15$$ $$-2x + 3y = 21$$ $$0=6$$
Since the sides are not equal; therefore there is no solution.