Solve y-(4.9)=0.8[x-(1.5)]

$$y - ( 4.9 ) = 0.8 [ x - ( 1.5 ) ]$$

Solve for x

$$x=\frac{5y}{4}-4.625$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.8 by x-1.5.

$$y-4.9=0.8x-1.2$$

Swap sides so that all variable terms are on the left hand side.

$$0.8x-1.2=y-4.9$$

Add 1.2 to both sides.

$$0.8x=y-4.9+1.2$$

Add -4.9 and 1.2 to get -3.7.

$$0.8x=y-3.7$$

Divide both sides of the equation by 0.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.8x}{0.8}=\frac{y-3.7}{0.8}$$

Dividing by 0.8 undoes the multiplication by 0.8.

$$x=\frac{y-3.7}{0.8}$$

Divide y-3.7 by 0.8 by multiplying y-3.7 by the reciprocal of 0.8.

$$x=\frac{5y}{4}-\frac{37}{8}$$

Solve for y

$$y=\frac{4x}{5}+3.7$$

Solution Steps

Use the distributive property to multiply 0.8 by x-1.5.

$$y-4.9=0.8x-1.2$$

Add 4.9 to both sides.

$$y=0.8x-1.2+4.9$$

Add -1.2 and 4.9 to get 3.7.

$$y=0.8x+3.7$$