Solve the system of equations. {:[5y-4x=-7],[2y+4x=14],[x=◻],[y=◻]:}

Identify operation to eliminate variable: Identify the operation to eliminate one of the variables. In this case, we can add the two equations directly to eliminate 'x'.Add equations to eliminate 'x': Add the equations (5y - 4x) + (2y + 4x) = -7 + 14 to eliminate 'x'. 5y - 4x + 2y + 4x = -7 + 14 7y = 7Solve for 'y': Solve for 'y'. Dividing both sides of the equation by 7 gives us y = 1. 7y / 7 = 7 / 7 y = 1Substitute y = 1 to solve for 'x': Substitute y = 1 into one of the original equations to solve for 'x'. We can use the second equation 2y + 4x = 14. 2(1) + 4x = 14 2 + 4x = 14Solve for 'x': Solve for 'x'. Subtract 2 from both sides to isolate 4x. 4x = 14 - 2 4x = 12Write the solution as a coordinate point: Divide both sides by 4 to find the value of 'x'. 4x / 4 = 12 / 4 x = 3Write the solution as a coordinate point. The solution is (3, 1).

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Solve the system of equations.

{:[5y-4x=-7],[2y+4x=14],[x=◻],[y=◻]:}

Solve the system of equations. $\newline$ $\begin{array}{l} 5 y-4 x=-7 \\ 2 y+4 x=14 \\ x=\square \\ y=\square \end{array}$

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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} 5 y-4 x=-7 \\ 2 y+4 x=14 \\ x=\square \\ y=\square \end{array}

Identify operation to eliminate variable: Identify the operation to eliminate one of the variables. In this case, we can add the two equations directly to eliminate ' $x$ '.
Add equations to eliminate 'x': Add the equations $(5y - 4x) + (2y + 4x) = -7 + 14$ to eliminate 'x'. $\newline$ $5y - 4x + 2y + 4x = -7 + 14$ $\newline$ $7y = 7$
Solve for 'y': Solve for 'y'. Dividing both sides of the equation by $7$ gives us $y = 1$ . $\newline$ $\frac{7y}{7} = \frac{7}{7}$ $\newline$ $y = 1$
Substitute $y = 1$ to solve for 'x': Substitute $y = 1$ into one of the original equations to solve for 'x'. We can use the second equation $2y + 4x = 14$ . $\newline$ $2(1) + 4x = 14$ $\newline$ $2 + 4x = 14$
Solve for 'x': Solve for 'x'. Subtract $2$ from both sides to isolate $4x$ . $\newline$ $4x = 14 - 2$ $\newline$ $4x = 12$
Write the solution as a coordinate point: Divide both sides by $4$ to find the value of 'x'. $\newline$ $\frac{4x}{4} = \frac{12}{4}$ $\newline$ $x = 3$
Write the solution as a coordinate point: Divide both sides by $4$ to find the value of 'x'. $\newline$ $\frac{4x}{4} = \frac{12}{4}$ $\newline$ $x = 3$ Write the solution as a coordinate point. The solution is $(3, 1)$ .