Solve the system of equations. {:[-2x+15 y=-24],[2x+9y=24],[x=◻],[y=◻]:}

Identify variable to eliminate: Identify the variable to eliminate. In this case, we can eliminate 'x' as the coefficients are the opposite in both equations.Identify operation to eliminate variable: Identify the operation to eliminate the variable. Here, we add the equations as the coefficients are opposite.Add equations to eliminate x: Add the equations to eliminate 'x'. (-2x + 15y) + (2x + 9y) = -24 + 24 -2x + 15y + 2x + 9y = 0 15y + 9y = 0 24y = 0 This gives us 24y = 0.Solve for y: Solve for 'y'. Dividing both sides of the equation by 24 gives us y = 0.Substitute y = 0 into first equation: Substitute y = 0 into the first equation to solve for 'x'. Substitute y = 0 in -2x + 15y = -24. We get -2x + 0 = -24. Simplify to get -2x = -24.Solve for x: Solve for 'x'. Dividing both sides of the equation by -2 gives us x = 12.Write solution as coordinate point: Write the solution as a coordinate point. The solution is (12, 0).

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Solve the system of equations.

{:[-2x+15 y=-24],[2x+9y=24],[x=◻],[y=◻]:}

Solve the system of equations. $\newline$ $\begin{array}{l} -2 x+15 y=-24 \\ 2 x+9 y=24 \\ x=\square \\ y=\square \end{array}$

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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} -2 x+15 y=-24 \\ 2 x+9 y=24 \\ x=\square \\ y=\square \end{array}

Identify variable to eliminate: Identify the variable to eliminate. In this case, we can eliminate ' $x$ ' as the coefficients are the opposite in both equations.
Identify operation to eliminate variable: Identify the operation to eliminate the variable. Here, we add the equations as the coefficients are opposite.
Add equations to eliminate x: Add the equations to eliminate 'x'. $(-2x + 15y) + (2x + 9y) = -24 + 24$ $\newline$ $-2x + 15y + 2x + 9y = 0$ $\newline$ $15y + 9y = 0$ $\newline$ $24y = 0$ $\newline$ This gives us $24y = 0$ .
Solve for y: Solve for 'y'. Dividing both sides of the equation by $24$ gives us $y = 0$ .
Substitute $y = 0$ into first equation: Substitute $y = 0$ into the first equation to solve for ' $x$ '. Substitute $y = 0$ in $-2x + 15y = -24$ . We get $-2x + 0 = -24$ . Simplify to get $-2x = -24$ .
Solve for x: Solve for 'x'. Dividing both sides of the equation by $-2$ gives us $x = 12$ .
Write solution as coordinate point: Write the solution as a coordinate point. The solution is $(12, 0)$ .