SOLUTION: Solve the system by Substitution: 3x + 3 = 5y 4x + 2y = -4

Algebra.Com
Question 1155473: Solve the system by Substitution:
3x + 3 = 5y
4x + 2y = -4
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

......eq.1
......eq.2
-----------------------
start with
......eq.1, solve for
......substitute in eq.2

......eq.2,...solve for
........both sides multiply by





go to
......eq.1, substitute





solution:


intersection point is at: (,)




Answer by greenestamps(13209)   (Show Source): You can put this solution on YOUR website!


I would never solve a system of equations like this using substitution; elimination is far easier.

However, if I did solve it using substitution, I would not solve for y and get an expression involving fractions and then substitute in the other equation.

Remember that, using substitution, you don't need to solve for y or x -- you can solve for 3y, or 7x, or whatever is convenient.

So here is how I would solve this using substitution.

-->

-->

Now substitute "6x+6" for "10y" in the second equation:






Then finish from there by any method you choose.
RELATED QUESTIONS

Solve the system of linear equations by the substitution method. y = -4/3x 4x + 2y... (answered by mangopeeler07)
Solve the following system of linear equations by the substitution method. Clearly state... (answered by Nate)
Solve the system by substitution. x + 5y = 11 –3x – 2y = –7 (answered by jim_thompson5910)
Solve the system of linera equations by the substitution method. y = -4/3x 4x +2y... (answered by checkley77)
Solve the system by substitution. 4y + 19 = x 3y - x = -13 Solve the system by... (answered by MathLover1)
Solve the system of equations by substitution: 3x - y = 4 x + 5y =... (answered by lenny460)
Please help. Solve the system by substitution. 4x+2y=8 y=-3x+7 Thanks... (answered by jim_thompson5910)
1.SOLVE THE SYSTEM BY SUBSTITUTION A)3x+4y=11 B)3x+2y=6 (answered by josgarithmetic)
solve the system by addition or substitution 20x - 5y = -12 (answered by stanbon)