Solve x+y/64=x+y+5.1/42

$$\frac { x + y } { 64 } = \frac { x + y + 5.1 } { 42 }$$

Solve for x

$$x=-y-\frac{816}{55}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1344, the least common multiple of 64,42.

$$21\left(x+y\right)=32\left(x+y+5.1\right)$$

Use the distributive property to multiply 21 by x+y.

$$21x+21y=32\left(x+y+5.1\right)$$

Use the distributive property to multiply 32 by x+y+5.1.

$$21x+21y=32x+32y+163.2$$

Subtract 32x from both sides.

$$21x+21y-32x=32y+163.2$$

Combine 21x and -32x to get -11x.

$$-11x+21y=32y+163.2$$

Subtract 21y from both sides.

$$-11x=32y+163.2-21y$$

Combine 32y and -21y to get 11y.

$$-11x=11y+163.2$$

Divide both sides by -11.

$$\frac{-11x}{-11}=\frac{11y+163.2}{-11}$$

Dividing by -11 undoes the multiplication by -11.

$$x=\frac{11y+163.2}{-11}$$

Divide 11y+163.2 by -11.

$$x=-y-\frac{816}{55}$$

Solve for y

$$y=-x-\frac{816}{55}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1344, the least common multiple of 64,42.

$$21\left(x+y\right)=32\left(x+y+5.1\right)$$

Use the distributive property to multiply 21 by x+y.

$$21x+21y=32\left(x+y+5.1\right)$$

Use the distributive property to multiply 32 by x+y+5.1.

$$21x+21y=32x+32y+163.2$$

Subtract 32y from both sides.

$$21x+21y-32y=32x+163.2$$

Combine 21y and -32y to get -11y.

$$21x-11y=32x+163.2$$

Subtract 21x from both sides.

$$-11y=32x+163.2-21x$$

Combine 32x and -21x to get 11x.

$$-11y=11x+163.2$$

Divide both sides by -11.

$$\frac{-11y}{-11}=\frac{11x+163.2}{-11}$$

Dividing by -11 undoes the multiplication by -11.

$$y=\frac{11x+163.2}{-11}$$

Divide 11x+163.2 by -11.

$$y=-x-\frac{816}{55}$$