SOLUTION: Solve each system by substitution x

SOLUTION: Solve each system by substitution x - 3y = 3 and 3x + 5y = -19

Question 648018: Solve each system by substitution
x - 3y = 3 and 3x + 5y = -19

Answer by Algebraic(50) (Show Source): You can put this solution on YOUR website!
Original equations: and
Step 1: To solve by substitution, we'd have to get a variable by itself so that we can plug it into the other.
Let's try to get 'x' by itself on the left equation to make it easier, since it doesn't have a number already attached to it.

Step 2: Add '3y' to both sides to get 'x' by itself

Step 3: We now have 'x' by itself and can plug it into the other equation to give us what 'y' is.

Plug in the above into the other equation.

Step 4: Distribute the '3' to everything in the parenthesis

Step 5: Combine like terms

Step 6: Continue combining like terms.. subtract 9 to both sides to get '14'y by itself

Step 7: Divide '14' to both sides to get 'y' by itself

We now know that the 'y' point to this system of equations is
With the 'y' point, you can find the 'x' by plugging in the 'y' to any of the two given equations.
I'm going to use this equation to make it easier
Step 1: We know what 'y' is, so plug into the equation to get the 'x' point

Step 2: Simplify

Step 3: Subtract '6' to both sides to get 'x' by itself

We now know that the 'x' point to this system of equations is
The solution is and
RELATED QUESTIONS
help would be appreciated! Use substitution to solve x + 3y = -3 and 3x -... (answered by jai_kos)

solve each system by substitution .5x-5y=19 and... (answered by checkley71)

system by substitution x+3y=13 3x+5y=19 i can't seem to get... (answered by MOD)

Solve each system by substitution (x + 5y = - 3 (x = -... (answered by josgarithmetic)

Solve each system by using the elimination method and the substitution method. 4x-3y=-19 (answered by checkley77)

Solve the system by substitution. x � 3y = 14 �3x + 5y = �14 (answered by jim_thompson5910)

Solve the system by substitution. x + 2y = �17 �2x + 3y = �15 Solve the system... (answered by rajagopalan)

Solve this system by substitution: -3x+3y=4 and... (answered by mananth)

Can someone help me solve this problem? Solve each system by the substitution method. (answered by wilft1)