What is 6p-2q+r=8,p-q+4r=-15,4q-23r=30 ?

The solution to 6p-2q+r=8,p-q+4r=-15,4q-23r=30 is No Solution

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6p-2q+r=8,p-q+4r=-15,4q-23r=30

6 p - 2 q + r = 8, p - q + 4 r = - 15, 4 q - 23 r = 30

No Solution

Solution steps

6 p - 2 q + r = 8 p - q + 4 r = - 15 4 q - 23 r = 30

Isolate

q

for

4 q - 23 r = 30 : q = \frac{30 + 23 r}{4}

Substitute

q = \frac{30 + 23 r}{4}

[6 p - 2 \cdot \frac{30 + 23 r}{4} + r = 8 p - \frac{30 + 23 r}{4} + 4 r = - 15]

Simplify

[6 p + \frac{- 30 - 21 r}{2} = 8 p + \frac{- 30 - 7 r}{4} = - 15]

Isolate

p

for

6 p + \frac{- 30 - 21 r}{2} = 8 : p = \frac{21 r + 46}{12}

Substitute

p = \frac{21 r + 46}{12}

[\frac{21 r + 46}{12} + \frac{- 30 - 7 r}{4} = - 15]

Simplify

[- \frac{11}{3} = - 15]

- \frac{11}{3} = - 15

is false, therefore the system of equations has no solution

No Solution

2 x + 7 y = 3, x + 5 y + 7 = 8

y - \frac{5}{2} x - 3 y = - 3, x = 2

2 r + 3 s = 1, 4 r - s = 12

2 x + 3 y + 5 = 5, x - 3 y + 9 = 0

2 x + 3 y = 795, 3 x + 5 y = 1300

What is 6p-2q+r=8,p-q+4r=-15,4q-23r=30 ?
The solution to 6p-2q+r=8,p-q+4r=-15,4q-23r=30 is No Solution