What is x+4y=2,1y-4x=21 ?

The solution to x+4y=2,1y-4x=21 is x=-82/17 ,y= 29/17

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x+4y=2,1y-4x=21

x + 4 y = 2, 1 y - 4 x = 21

x = - \frac{82}{17}, y = \frac{29}{17}

Solution steps

[x + 4 y = 2 1 \cdot y - 4 x = 21]

Isolate

x

for

x + 4 y = 2 : x = 2 - 4 y

Substitute

x = 2 - 4 y

[1 \cdot y - 4 (2 - 4 y) = 21]

Simplify

[17 y - 8 = 21]

Isolate

y

for

17 y - 8 = 21 : y = \frac{29}{17}

For

x = 2 - 4 y

Substitute

y = \frac{29}{17}

x = 2 - 4 \cdot \frac{29}{17}

2 - 4 \cdot \frac{29}{17} = - \frac{82}{17}

x = - \frac{82}{17}

The solutions to the system of equations are:

x = - \frac{82}{17}, y = \frac{29}{17}

6 x + 3 y = 15, 4 x - 9 y = - 34

3 x + 2 (y + 1) = 2, 4 x - 3 (y - 2) = 23

n (u) = 10, 0 n (a) = 4, 5 n (b) = 3, 4 n (a^{0} b) = 15

y + x = - 4, 2 y + 2 x = - 8

13 x - 6 y = 20, 7 x + 4 y = 18