Solve {l}{2.4x+3.5y=-1.8}{x=-4}

$$\left. \begin{array} { l } { 2.4 x + 3.5 y = - 1.8 } \\ { x = - 4 } \end{array} \right.$$

Solve for x, y

$$x=-4$$

$$y = \frac{78}{35} = 2\frac{8}{35} \approx 2.228571429$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$2.4\left(-4\right)+3.5y=-1.8$$

Multiply 2.4 and -4 to get -9.6.

$$-9.6+3.5y=-1.8$$

Add 9.6 to both sides.

$$3.5y=-1.8+9.6$$

Add -1.8 and 9.6 to get 7.8.

$$3.5y=7.8$$

Divide both sides by 3.5.

$$y=\frac{7.8}{3.5}$$

Expand \frac{7.8}{3.5} by multiplying both numerator and the denominator by 10.

$$y=\frac{78}{35}$$

The system is now solved.

$$x=-4 y=\frac{78}{35}$$