Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

solve y-2x=3 and 3x-2y=5 using substitution

Sagot :

iGreen
y - 2x = 3
3x - 2y = 5

y - 2x = 3

Add 2x to both sides:

y = 2x + 3

Plug in 2x + 3 for 'y' in the 2nd equation:

3x - 2(2x + 3) = 5

Distribute -2:

3x - 4x - 6 = 5

Combine like terms:

-x - 6 = 5

Add 6 to both sides:

-x = 11

Multiply -1 to both sides:

x = -11

Now plug this into any of the 2 equations to solve for 'y':

y - 2x = 3

y - 2(-11) = 3

Multiply:

y + 22 = 3

Subtract 22 to both sides:

y = -19

So the solution is (-11, -19)