What is 2(x+1)+3(y+1)=15,3(x+1)-2(y+1)=3 ?

The solution to 2(x+1)+3(y+1)=15,3(x+1)-2(y+1)=3 is x=2,y=2

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2(x+1)+3(y+1)=15,3(x+1)-2(y+1)=3

2 (x + 1) + 3 (y + 1) = 15, 3 (x + 1) - 2 (y + 1) = 3

x = 2, y = 2

Solution steps

[2 (x + 1) + 3 (y + 1) = 15 3 (x + 1) - 2 (y + 1) = 3]

Isolate

x

for

2 (x + 1) + 3 (y + 1) = 15 : x = \frac{- 3 y + 12}{2} - 1

Substitute

x = \frac{- 3 y + 12}{2} - 1

[3 (\frac{- 3 y + 12}{2} - 1 + 1) - 2 (y + 1) = 3]

Simplify

[\frac{- 13 y + 36}{2} - 2 = 3]

Isolate

y

for

\frac{- 13 y + 36}{2} - 2 = 3 : y = 2

For

x = \frac{- 3 y + 12}{2} - 1

Substitute

y = 2

x = \frac{- 3 \cdot 2 + 12}{2} - 1

\frac{- 3 \cdot 2 + 12}{2} - 1 = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 2

5 x + 3 y - 11 z = 13, 4 x - 5 y + 4 z = 18, 9 x - 2 y - 7 z = 25

2 x + 3 y = 9, 6 x + 9 y = 18

x = 2 - y, 2 x - 9 = 3 y

10 x - 8 y = - 30, 5 x - 2 y = - 5

x + 2 y - 4 = 3, x + y - 7 = 0

What is 2(x+1)+3(y+1)=15,3(x+1)-2(y+1)=3 ?
The solution to 2(x+1)+3(y+1)=15,3(x+1)-2(y+1)=3 is x=2,y=2