Solve \left\{ \begin{array} { c } {3x+2y=6} \\ { 5x+4

Evaluate

{3 x + 2 y = 6 5 x + 4 y = 8

Solve the equation for x

More Steps

{x = \frac{6 - 2 y}{3} 5 x + 4 y = 8

Substitute the given value of x into the equation 5 x + 4 y = 8

5 \times \frac{6 - 2 y}{3} + 4 y = 8

Simplify

\frac{5 ( 6 - 2 y )}{3} + 4 y = 8

Multiply both sides of the equation by LCD

(\frac{5 ( 6 - 2 y )}{3} + 4 y) \times 3 = 8 \times 3

Simplify the equation

More Steps

30 + 2 y = 8 \times 3

Simplify the equation

30 + 2 y = 24

Move the constant to the right side

2 y = 24 - 30

Subtract the numbers

2 y = - 6

Divide both sides

\frac{2 y}{2} = \frac{- 6}{2}

Divide the numbers

y = \frac{- 6}{2}

Divide the numbers

More Steps

y = - 3

Substitute the given value of y into the equation x = \frac{6 - 2 y}{3}

x = \frac{6 - 2 ( - 3 )}{3}

Calculate

x = 4

Calculate

{x = 4 y = - 3

Check the solution

More Steps

{x = 4 y = - 3

Solution

(x, y) = (4, - 3)

Solve the system of equations