Solve by Substitution 2x-3y=5 , 4x+2y=18

Problem

{[2*x−3*y=5],[4*x+2*y=18])

Solution

1. Isolate a variable in the first equation. We will solve for x in 2*x−3*y=5

2*x=3*y+5

x=(3*y+5)/2

2. Substitute the expression for x into the second equation, 4*x+2*y=18

4*((3*y+5)/2)+2*y=18

3. Simplify the equation by performing the multiplication.

2*(3*y+5)+2*y=18

6*y+10+2*y=18

4. Solve for y by combining like terms and isolating the variable.

8*y+10=18

8*y=8

y=1

5. Substitute the value of y back into the expression for x to find the second coordinate.

x=(3*(1)+5)/2

x=8/2

x=4

Final Answer

(x,y)=(4,1)

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