Question

Use the substitution method to solve the system of equations.y = -8x4x - y = 3OA (1-4)Α.OB. (1-4)C. (4-2)D. (12.-1)O D.

Answer 1

Solution

- The solution steps are given below:

$\begin{gathered} y=-8x\text{ \lparen Equation 1\rparen} \\ 4x-y=3\text{ }(Equation\text{ 2\rparen} \\ \\ \text{ From Equation 1, we have an expression for }y.\text{ We can substitute this expression} \\ \text{ for }y\text{ into Equation 2.} \\ \text{ That is,} \\ \\ 4x-(-8x)=3 \\ 4x+8x=3 \\ 12x=3 \\ \text{ Divide both sides by 12} \\ x=\frac{3}{12} \\ \\ x=\frac{1}{4} \\ \\ \text{ Substituting the value of }x\text{ into Equation 1, we have:} \\ y=-8x=-8\times\frac{1}{4} \\ \\ y=-2 \end{gathered}$

Final Answer

The answer is:

$\begin{gathered} x=\frac{1}{4},y=-2 \\ \\ (\frac{1}{4},-2)\text{ \lparen OPTION C\rparen} \end{gathered}$