What is 10x-3y=-82,-7x+10y=89 ?

The solution to 10x-3y=-82,-7x+10y=89 is x=-7,y=4

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10x-3y=-82,-7x+10y=89

10 x - 3 y = - 82, - 7 x + 10 y = 89

x = - 7, y = 4

Solution steps

[10 x - 3 y = - 82 - 7 x + 10 y = 89]

Isolate

x

for

10 x - 3 y = - 82 : x = \frac{- 82 + 3 y}{10}

Substitute

x = \frac{- 82 + 3 y}{10}

[- 7 \cdot \frac{- 82 + 3 y}{10} + 10 y = 89]

Simplify

[\frac{574 + 79 y}{10} = 89]

Isolate

y

for

\frac{574 + 79 y}{10} = 89 : y = 4

For

x = \frac{- 82 + 3 y}{10}

Substitute

y = 4

x = \frac{- 82 + 3 \cdot 4}{10}

\frac{- 82 + 3 \cdot 4}{10} = - 7

x = - 7

The solutions to the system of equations are:

x = - 7, y = 4

3 x + 4 y = 5, 2 x - y = 10

3 x + 11 y = 13, 8 x + 13 y = 2

2 x + 7 y - 3 = 5, x + 5 y + 6 = 0

2 x + 3 y = 4, 2 x - 4 y = 2

3 x - 2 y = 30, 2 x + 2 y = 70

What is 10x-3y=-82,-7x+10y=89 ?
The solution to 10x-3y=-82,-7x+10y=89 is x=-7,y=4