What is x-2y+7=0,x+y+2=0 ?

The solution to x-2y+7=0,x+y+2=0 is x=-11/3 ,y= 5/3

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

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

x = - \frac{11}{3}, y = \frac{5}{3}

Solution steps

[x - 2 y + 7 = 0 x + y + 2 = 0]

Isolate

x

for

x - 2 y + 7 = 0 : x = 2 y - 7

Substitute

x = 2 y - 7

[2 y - 7 + y + 2 = 0]

Simplify

[3 y - 5 = 0]

Isolate

y

for

3 y - 5 = 0 : y = \frac{5}{3}

For

x = 2 y - 7

Substitute

y = \frac{5}{3}

x = 2 \cdot \frac{5}{3} - 7

2 \cdot \frac{5}{3} - 7 = - \frac{11}{3}

x = - \frac{11}{3}

The solutions to the system of equations are:

x = - \frac{11}{3}, y = \frac{5}{3}

4 a - 3 b = 5, 3 a - 4 b = 2

x + y = 40, x - 3 y = 20

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

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

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