Solve the system algebraically: {:[y=2x-3],[y=6x+1]:}

Write Equations: Write down the system of equations to be solved. We have the following system of equations: y = 2x - 3 y = 6x + 1Set Equations Equal: Since both equations equal y, set them equal to each other to find the value of x. 2x - 3 = 6x + 1Rearrange and Solve: Rearrange the equation to solve for x by moving all x terms to one side and constants to the other side. 2x - 6x = 1 + 3Combine Like Terms: Combine like terms. -4x = 4Solve for x: Divide both sides by -4 to solve for x. x = 4 / -4 x = -1Substitute and Solve for y: Substitute the value of x back into one of the original equations to solve for y. Using y = 2x - 3: y = 2(-1) - 3Calculate y Value: Calculate the value of y. y = -2 - 3 y = -5

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Solve the system algebraically:

{:[y=2x-3],[y=6x+1]:}

Solve the system algebraically: $\newline$ $\begin{array}{l} y=2 x-3 \\ y=6 x+1 \end{array}$

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Q. Solve the system algebraically:

\newline

\begin{array}{l} y=2 x-3 \\ y=6 x+1 \end{array}

Write Equations: Write down the system of equations to be solved. $\newline$ We have the following system of equations: $\newline$ $y = 2x - 3$ $\newline$ $y = 6x + 1$
Set Equations Equal: Since both equations equal $y$ , set them equal to each other to find the value of $x$ . $2x - 3 = 6x + 1$
Rearrange and Solve: Rearrange the equation to solve for x by moving all x terms to one side and constants to the other side. $2x - 6x = 1 + 3$
Combine Like Terms: Combine like terms. $\newline$ $-4x = 4$
Solve for x: Divide both sides by $-4$ to solve for x. $\newline$ $x = \frac{4}{-4}$ $\newline$ $x = -1$
Substitute and Solve for $y$ : Substitute the value of $x$ back into one of the original equations to solve for $y$ . Using $y = 2x - 3$ : $y = 2(-1) - 3$
Calculate y Value: Calculate the value of y. $\newline$ y = $-2 - 3$ $\newline$ y = $-5$