Solve 2x-4=85x+y=20 y - Socratic AI (ScanMath)

Вопрос

Solve the system of equations

Solve using the substitution method

Solve using the elimination method

Solve using the Gauss-Jordan method

Загрузить ещё

(x, y) = (- \frac{38}{831}, - \frac{170}{831})

Alternative Form

(x, y) \approx (- 0.045728, - 0.204573)

Evaluate

{2 x - 4 = 85 x + y 85 x + y = 20 y

Solve the equation for y

Больше Шагов

{y = - 83 x - 4 85 x + y = 20 y

Substitute the given value of y into the equation 85 x + y = 20 y

85 x - 83 x - 4 = 20 (- 83 x - 4)

Subtract the terms

Больше Шагов

2 x - 4 = 20 (- 83 x - 4)

Expand the expression

Больше Шагов

2 x - 4 = - 1660 x - 80

Move the expression to the left side

2 x - 4 + 1660 x = - 80

Move the expression to the right side

2 x + 1660 x = - 80 + 4

Add and subtract

Больше Шагов

1662 x = - 80 + 4

Add and subtract

1662 x = - 76

Divide both sides

\frac{1662 x}{1662} = \frac{- 76}{1662}

Divide the numbers

x = \frac{- 76}{1662}

Divide the numbers

Больше Шагов

x = - \frac{38}{831}

Substitute the given value of x into the equation y = - 83 x - 4

y = - 83 (- \frac{38}{831}) - 4

Calculate

y = - \frac{170}{831}

Calculate

{x = - \frac{38}{831} y = - \frac{170}{831}

Check the solution

Больше Шагов

{x = - \frac{38}{831} y = - \frac{170}{831}

Решение

(x, y) = (- \frac{38}{831}, - \frac{170}{831})

Alternative Form

(x, y) \approx (- 0.045728, - 0.204573)

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