What is 7(y+3)-2(x+3)=14,4(y-2)+3(x-3)=2 ?

The solution to 7(y+3)-2(x+3)=14,4(y-2)+3(x-3)=2 is x= 137/29 ,y= 35/29

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7(y+3)-2(x+3)=14,4(y-2)+3(x-3)=2

7 (y + 3) - 2 (x + 3) = 14, 4 (y - 2) + 3 (x - 3) = 2

x = \frac{137}{29}, y = \frac{35}{29}

Solution steps

[7 (y + 3) - 2 (x + 3) = 14 4 (y - 2) + 3 (x - 3) = 2]

Isolate

y

for

7 (y + 3) - 2 (x + 3) = 14 : y = \frac{2 x + 20}{7} - 3

Substitute

y = \frac{2 x + 20}{7} - 3

[4 (\frac{2 x + 20}{7} - 3 - 2) + 3 (x - 3) = 2]

Simplify

[\frac{29 x + 80}{7} - 29 = 2]

Isolate

x

for

\frac{29 x + 80}{7} - 29 = 2 : x = \frac{137}{29}

For

y = \frac{2 x + 20}{7} - 3

Substitute

x = \frac{137}{29}

y = \frac{2 \cdot \frac{137}{29} + 20}{7} - 3

\frac{2 \cdot \frac{137}{29} + 20}{7} - 3 = \frac{35}{29}

y = \frac{35}{29}

The solutions to the system of equations are:

x = \frac{137}{29}, y = \frac{35}{29}

x + y = 10, 2 x - y = 5

x + y = 10, 2 x - y = 8

x - 4 = 5 x + 16, y = 10

2 b - p = 30, 3 b - 4 p = 5

c = (- 7 - 3), r = 4

What is 7(y+3)-2(x+3)=14,4(y-2)+3(x-3)=2 ?
The solution to 7(y+3)-2(x+3)=14,4(y-2)+3(x-3)=2 is x= 137/29 ,y= 35/29