What is 7(y+3)-2(x+2)=14,4(y+2)+4(x+3)=44 ?

The solution to 7(y+3)-2(x+2)=14,4(y+2)+4(x+3)=44 is x=5,y=1

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7(y+3)-2(x+2)=14,4(y+2)+4(x+3)=44

7 (y + 3) - 2 (x + 2) = 14, 4 (y + 2) + 4 (x + 3) = 44

x = 5, y = 1

Solution steps

[7 (y + 3) - 2 (x + 2) = 14 4 (y + 2) + 4 (x + 3) = 44]

Isolate

y

for

7 (y + 3) - 2 (x + 2) = 14 : y = \frac{2 x + 18}{7} - 3

Substitute

y = \frac{2 x + 18}{7} - 3

[4 (\frac{2 x + 18}{7} - 3 + 2) + 4 (x + 3) = 44]

Simplify

[\frac{36 x + 72}{7} + 8 = 44]

Isolate

x

for

\frac{36 x + 72}{7} + 8 = 44 : x = 5

For

y = \frac{2 x + 18}{7} - 3

Substitute

x = 5

y = \frac{2 \cdot 5 + 18}{7} - 3

\frac{2 \cdot 5 + 18}{7} - 3 = 1

y = 1

The solutions to the system of equations are:

x = 5, y = 1

5 x - 12 y = 21, 3 x + 5 y = 20

\frac{x}{3} + \frac{y}{4} = 6, + \frac{x}{6} + \frac{y}{2} = 6

2 x + y = 31, 3 y - x = 23

x + y = 7, x + y = 11

4 x + 6 y = - 1, 10 x + 18 y = 14

What is 7(y+3)-2(x+2)=14,4(y+2)+4(x+3)=44 ?
The solution to 7(y+3)-2(x+2)=14,4(y+2)+4(x+3)=44 is x=5,y=1