Solve the system of equations. {[4x-y=11],[6x-2y=13]:}

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Write Equations: Write down the system of equations to be solved. We have the following system of equations: 4x - y = 11 ...(1) 6x - 2y = 13 ...(2) We will solve this system using the method of substitution or elimination.Eliminate Variable: Look for a way to eliminate one of the variables. Notice that if we multiply equation (1) by 2, we get: 2*(4x - y) = 2*11 8x - 2y = 22 ...(3) Now we have the coefficients of y in equations (2) and (3) as equal but opposite in sign, which means we can add the equations to eliminate y.Add Equations: Add equations (2) and (3) to eliminate y. (6x - 2y) + (8x - 2y) = 13 + 22 6x + 8x - 2y - 2y = 35 14x = 35Solve for x: Solve for x. Divide both sides of the equation by 14 to find the value of x. 14x / 14 = 35 / 14 x = 35 / 14 x = 2.5Substitute x: Substitute the value of x back into one of the original equations to find y. We can use equation (1) for this purpose. 4x - y = 11 4*(2.5) - y = 11 10 - y = 11Solve for y: Solve for y. Subtract 10 from both sides of the equation to isolate y. -y = 11 - 10 -y = 1 Multiply both sides by -1 to get the value of y. y = -1

Solve the system of equations. $\newline$ $\left\{\begin{array}{l}4 x-y=11 \\ 6 x-2 y=13\end{array}\right.$

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Solve the system of equations.\newline{4x−y=116x−2y=13 \left\{\begin{array}{l}4 x-y=11 \\ 6 x-2 y=13\end{array}\right. {4x−y=116x−2y=13​

Solve the system of equations. $\newline$ $\left\{\begin{array}{l}4 x-y=11 \\ 6 x-2 y=13\end{array}\right.$