Solve by Substitution y=2x+1 2x-3y =21 Show all work. Identify the solution. Solve by Elimination 2x+3y=11 4x-3y=-23 Show all work. Identify the solution.

1.  (-6,-11)

2.(-2,5)

Step-by-step explanation:

y=2x+1

2x-3y =21

Take the first equation and substitute into the second

2x-3(2x+1) =21

Distribute

2x -6x-3 = 21

Combine like terms

-4x -3 = 21

Add 3 to each side

-4x-3+3 =21+3

-4x = 24

Divide by -4

-4x/4 = 24/-4

x = -6

Then find y

y = 2x+1 = 2(-6) +1 =-12+1 = -11

Elimination for problem 2

2x+3y=11 4x-3y=-23

Add the two equations together to eliminate y

2x+3y=11

4x-3y=-23

6x = -12

Divide by 6

6x/6 = -12/6

x = -2

Multiply the first equation by -2

-4x+-6y=-22

4x-3y=-23

 -9y = -45

Divide by -9

-9y/-9 = -45/-9

y = 5

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