Solve using the substitution method of { 0.5x + 1.2y = 7.1, 1.5x - 0.8y = 2.3 }

\left(x,y\right) = \left(\frac{211}{55},\frac{95}{22}\right)

Solve using the elimination method of { 0.5x + 1.2y = 7.1, 1.5x - 0.8y = 2.3 }

\left(x,y\right) = \left(\frac{211}{55},\frac{95}{22}\right)

\left(x,y\right) = \left(\frac{211}{55},\frac{95}{22}\right)

\left(x,y\right) = \left(\frac{211}{55},\frac{95}{22}\right)

\textrm{Neither parallel nor perpendicular}

Question :

Solve using the substitution method

Solve using the elimination method

Solve using the Gauss-Jordan method

(x, y) = (\frac{211}{55}, \frac{95}{22})

Alternative Form

(x, y) = (3.8 \dot{3} \dot{6}, 4.3 \dot{1} \dot{8})

Evaluate

{0.5 x + 1.2 y = 7.1 1.5 x - 0.8 y = 2.3

Solve the equation for x

More Steps

{x = 14.2 - 2.4 y 1.5 x - 0.8 y = 2.3

Substitute the given value of x into the equation 1.5 x - 0.8 y = 2.3

1.5 (14.2 - 2.4 y) - 0.8 y = 2.3

Simplify

More Steps

21.3 - 4.4 y = 2.3

Move the constant to the right-hand side and change its sign

- 4.4 y = 2.3 - 21.3

Subtract the numbers

- 4.4 y = - 19

Change the signs on both sides of the equation

4.4 y = 19

Divide both sides

\frac{4.4 y}{4.4} = \frac{19}{4.4}

Divide the numbers

y = \frac{19}{4.4}

Divide the numbers

More Steps

y = \frac{95}{22}

Substitute the given value of y into the equation x = 14.2 - 2.4 y

x = 14.2 - 2.4 \times \frac{95}{22}

Calculate

x = \frac{211}{55}

Calculate

{x = \frac{211}{55} y = \frac{95}{22}

Check the solution

More Steps

{x = \frac{211}{55} y = \frac{95}{22}

Solution

(x, y) = (\frac{211}{55}, \frac{95}{22})

Alternative Form

(x, y) = (3.8 \dot{3} \dot{6}, 4.3 \dot{1} \dot{8})

Show Solution

Neither parallel nor perpendicular

Show Solution