Solve the system of equations. {:[-7y-4x=1],[7y-2x=53],[x=◻],[y=◻]:}

Identify variable to eliminate: Identify the variable to eliminate. In this case, we can eliminate 'y' by adding the two equations since the coefficients of 'y' are opposite.Add equations to eliminate variable: Add the equations to eliminate 'y'. (-7y - 4x) + (7y - 2x) = 1 + 53 -7y + 7y - 4x - 2x = 54 0y - 6x = 54 This simplifies to -6x = 54.Solve for x: Solve for 'x'. Dividing both sides of the equation by -6 gives us x = -9.Substitute x into equation to solve for y: Substitute x = -9 into one of the original equations to solve for 'y'. We can use the second equation 7y - 2x = 53. Substituting x = -9, we get 7y - 2(-9) = 53. This simplifies to 7y + 18 = 53.Solve for y: Solve for 'y'. Subtract 18 from both sides to get 7y = 35. Dividing both sides by 7 gives us y = 5.Write solution as coordinate point: Write the solution as a coordinate point. The solution is (-9, 5).

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Solve the system of equations.

{:[-7y-4x=1],[7y-2x=53],[x=◻],[y=◻]:}

Solve the system of equations. $\newline$ $\begin{array}{l} -7 y-4 x=1 \\ 7 y-2 x=53 \\ x=\square \\ y=\square \end{array}$

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Algebra 2

Solve a system of equations using elimination

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Q. Solve the system of equations.

\newline

\begin{array}{l} -7 y-4 x=1 \\ 7 y-2 x=53 \\ x=\square \\ y=\square \end{array}

Identify variable to eliminate: Identify the variable to eliminate. In this case, we can eliminate ' extit{y}' by adding the two equations since the coefficients of ' extit{y}' are opposite.
Add equations to eliminate variable: Add the equations to eliminate 'y'. $(-7y - 4x) + (7y - 2x) = 1 + 53$ $-7y + 7y - 4x - 2x = 54$ $0y - 6x = 54$ This simplifies to $-6x = 54$ .
Solve for x: Solve for 'x'. Dividing both sides of the equation by $-6$ gives us $x = -9$ .
Substitute $x$ into equation to solve for $y$ : Substitute $x = -9$ into one of the original equations to solve for ' $y$ '. We can use the second equation $7y - 2x = 53$ . Substituting $x = -9$ , we get $7y - 2(-9) = 53$ . This simplifies to $7y + 18 = 53$ .
Solve for y: Solve for 'y'. Subtract $18$ from both sides to get $7y = 35$ . Dividing both sides by $7$ gives us $y = 5$ .
Write solution as coordinate point: Write the solution as a coordinate point. The solution is $(-9, 5)$ .