Find the solution of the system of equations. {:[8x+2y=12],[-4x+y=-26]:}

Write Equations: Write down the system of equations to be solved. We have the following system of equations: 8x + 2y = 12 -4x + y = -26Solve for y: Solve the second equation for y. We can express y in terms of x from the second equation: -4x + y = -26 y = -26 + 4xSubstitute in First Equation: Substitute the expression for y from Step 2 into the first equation. Substituting y = -26 + 4x into 8x + 2y = 12 gives us: 8x + 2(-26 + 4x) = 12Simplify and Solve for x: Simplify the equation and solve for x. 8x - 52 + 8x = 12 16x - 52 = 12 16x = 12 + 52 16x = 64 x = 64 / 16 x = 4Substitute x into y expression: Substitute the value of x back into the expression for y from Step 2. Substituting x = 4 into y = -26 + 4x gives us: y = -26 + 4(4) y = -26 + 16 y = -10

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Find the solution of the system of equations.

{:[8x+2y=12],[-4x+y=-26]:}

Find the solution of the system of equations. $\newline$ $\begin{array}{l} 8 x+2 y=12 \\ -4 x+y=-26 \end{array}$

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Grade 8

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Q. Find the solution of the system of equations.

\newline

\begin{array}{l} 8 x+2 y=12 \\ -4 x+y=-26 \end{array}

Write Equations: Write down the system of equations to be solved. $\newline$ We have the following system of equations: $\newline$ $8x + 2y = 12$ $\newline$ $-4x + y = -26$
Solve for y: Solve the second equation for y. $\newline$ We can express $y$ in terms of $x$ from the second equation: $\newline$ $-4x + y = -26$ $\newline$ $y = -26 + 4x$
Substitute in First Equation: Substitute the expression for $y$ from Step $2$ into the first equation. $\newline$ Substituting $y = -26 + 4x$ into $8x + 2y = 12$ gives us: $\newline$ $8x + 2(-26 + 4x) = 12$
Simplify and Solve for x: Simplify the equation and solve for x. $\newline$ $8x - 52 + 8x = 12$ $\newline$ $16x - 52 = 12$ $\newline$ $16x = 12 + 52$ $\newline$ $16x = 64$ $\newline$ $x = \frac{64}{16}$ $\newline$ $x = 4$
Substitute $x$ into $y$ expression: Substitute the value of $x$ back into the expression for $y$ from Step $2$ . $\newline$ Substituting $x = 4$ into $y = -26 + 4x$ gives us: $\newline$ $y = -26 + 4(4)$ $\newline$ $y = -26 + 16$ $\newline$ $y = -10$