Solve by Substitution 7x-3y=2 , 5x-2y=3

Problem

{[7*x−3*y=2],[5*x−2*y=3])

Solution

1. Solve the second equation for y to isolate a variable.

5*x−2*y=3

−2*y=3−5*x

y=(5*x−3)/2

2. Substitute the expression for y into the first equation.

7*x−3*((5*x−3)/2)=2

3. Multiply the entire equation by 2 to clear the fraction.

14*x−3*(5*x−3)=4

4. Distribute the constant and combine like terms to solve for x

14*x−15*x+9=4

−x+9=4

−x=−5

x=5

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

y=(5*(5)−3)/2

y=(25−3)/2

y=22/2

y=11

Final Answer

(x,y)=(5,11)

Want more problems? Check here!