Solve the system of equations. {[y=-6x+4],[y=(1)/(4)x-4]:}

Set Equations Equal: Set the two equations equal to each other since they both equal y. -6x + 4 = (1/4)x - 4Move X Terms: Move all x terms to one side of the equation by adding 6x to both sides. -6x + 6x + 4 = (1/4)x + 6x - 4Simplify Equation: Simplify the equation. 4 = (25/4)x - 4Move Constant Terms: Move the constant terms to one side by adding 4 to both sides. 4 + 4 = (25/4)xSimplify Constants: Simplify the constant terms. 8 = (25/4)xSolve for X: Solve for x by multiplying both sides by the reciprocal of (25/4), which is (4/25). 8 * (4/25) = xCalculate X Value: Calculate the value of x. x = 32/25 x = 1.28Substitute X Value: Substitute the value of x back into one of the original equations to solve for y. We'll use y = -6x + 4. y = -6(1.28) + 4Calculate Y Value: Calculate the value of y. y = -7.68 + 4 y = -3.68

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Solve the system of equations.
{[y=-6x+4],[y=(1)/(4)x-4]:}

Solve the system of equations. $\newline$ $\left\{\begin{array}{l}y=-6 x+4 \\ y=\frac{1}{4} x-4\end{array}\right.$

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Q. Solve the system of equations.

\newline

\left\{\begin{array}{l}y=-6 x+4 \\ y=\frac{1}{4} x-4\end{array}\right.

Set Equations Equal: Set the two equations equal to each other since they both equal $y$ . $-6x + 4 = (\frac{1}{4})x - 4$
Move X Terms: Move all $x$ terms to one side of the equation by adding $6x$ to both sides. $\newline$ \(-6x + $6$ x + $4$ = \left(\frac{ $1$ }{ $4$ }\right)x + $6$ x - $4$
Simplify Equation: Simplify the equation. $4 = \frac{25}{4}x - 4$
Move Constant Terms: Move the constant terms to one side by adding $4$ to both sides. $\newline$ $4 + 4 = \left(\frac{25}{4}\right)x$
Simplify Constants: Simplify the constant terms. $8 = \left(\frac{25}{4}\right)x$
Solve for X: Solve for $x$ by multiplying both sides by the reciprocal of $\frac{25}{4}$ , which is $\frac{4}{25}$ . $8 \times \frac{4}{25} = x$
Calculate X Value: Calculate the value of $x$ . $x = \frac{32}{25}$ $x = 1.28$
Substitute X Value: Substitute the value of $x$ back into one of the original equations to solve for $y$ . We'll use $y = -6x + 4$ . $\newline$ $y = -6(1.28) + 4$
Calculate Y Value: Calculate the value of y. $\newline$ y = $-7.68 + 4$ $\newline$ y = $-3.68$