Solve by Substitution 3x-5y=51 , 2x+3y=-4

Problem

{[3*x−5*y=51],[2*x+3*y=−4])

Solution

1. Isolate a variable in one of the equations. We will solve the second equation for x

2*x=−4−3*y

x=−2−3/2*y

2. Substitute the expression for x into the first equation:

3*(−2−3/2*y)−5*y=51

3. Distribute the constant into the parentheses:

−6−9/2*y−5*y=51

4. Combine the y terms by finding a common denominator:

−6−9/2*y−10/2*y=51

−6−19/2*y=51

5. Solve for y by isolating the term:

−19/2*y=57

y=57⋅(−2/19)

y=−6

6. Substitute the value of y back into the expression for x

x=−2−3/2*(−6)

x=−2+9

x=7

Final Answer

(x,y)=(7,−6)

Want more problems? Check here!