Solve {l}{0.05=3-2.844{(x-0.7)}}{text{Solvefor}ytext{where}}{y=0.05^2*28.44}

$$\left. \begin{array} { l } { 0.05 = 3 - 2.844 {(x - 0.7)} }\\ { \text{Solve for } y \text{ where} } \\ { y = 0.05 ^ {2} \cdot 28.44 } \end{array} \right.$$

Solve for x, y

$$y=0.0711$$

Solution Steps

Consider the first equation. Use the distributive property to multiply -2.844 by x-0.7.

$$0.05=3-2.844x+1.9908$$

Add 3 and 1.9908 to get 4.9908.

$$0.05=4.9908-2.844x$$

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

$$4.9908-2.844x=0.05$$

Subtract 4.9908 from both sides.

$$-2.844x=0.05-4.9908$$

Subtract 4.9908 from 0.05 to get -4.9408.

$$-2.844x=-4.9408$$

Divide both sides by -2.844.

$$x=\frac{-4.9408}{-2.844}$$

Expand \frac{-4.9408}{-2.844} by multiplying both numerator and the denominator by 10000.

$$x=\frac{-49408}{-28440}$$

Reduce the fraction \frac{-49408}{-28440} to lowest terms by extracting and canceling out -8.

$$x=\frac{6176}{3555}$$

Consider the second equation. Calculate 0.05 to the power of 2 and get 0.0025.

$$y=0.0025\times 28.44$$

Multiply 0.0025 and 28.44 to get 0.0711.

$$y=0.0711$$

The system is now solved.

$$x=\frac{6176}{3555} y=0.0711$$