Solve by Substitution 4x-10y=6 , 4x-3y=-5

Problem

{[4*x−10*y=6],[4*x−3*y=−5])

Solution

1. Isolate a variable in the first equation. We can solve for 4*x in the first equation to make the substitution easier.

4*x=10*y+6

2. Substitute the expression for 4*x into the second equation.

(10*y+6)−3*y=−5

3. Combine like terms to solve for y

7*y+6=−5

7*y=−11

y=−11/7

4. Substitute the value of y back into the expression for 4*x to find x

4*x=10*(−11/7)+6

4*x=−110/7+42/7

4*x=−68/7

5. Divide by 4 to solve for x

x=−68/28

x=−17/7

Final Answer

(x,y)=(−17/7,−11/7)

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