Solve the system of equations by the substitution method
2x - y = 12
5x + 3y = -3

X=3 and y= -6

Step-by-step explanation:

Let's solve your system by substitution.

2x−y=12;5x+3y=−3

Step: Solve. 2x−y=12for y:

2x−y=12

2x−y+−2x=12+−2x(Add -2x to both sides)

−y=−2x+12

−y= -2x+12

−1= −1. (Divide both sides by -1)

y=2x−12

Step: Substitute 2x−12 for y in 5 x+3y=−3:

5x+3y=−3

5x+3(2x−12)=−3

11x−36=−3 (Simplify both sides of the equation)

11x−36+36=−3+36(Add 36 to both sides)

11x=33

11x= 33

11. 11(Divide both sides by 11)

x=3

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol