Find the solution of the system of equations. {:[-2x-9y=19],[8x-8y=-32]:} Submit Answer

Question

Find the solution of the system of equations.  {:[-2x-9y=19],[8x-8y=-32]:} Submit Answer

Bytelearn · Accepted Answer

Analyze System of Equations: Analyze the system of equations to determine the best method to solve it. We have a system of two linear equations with two variables. We can use either the substitution method or the elimination method to solve it. In this case, the elimination method seems efficient because we can easily eliminate one of the variables by multiplying the first equation by 4 and adding it to the second equation.Prepare for Elimination: Multiply the first equation by 4 to prepare for elimination. Multiplying the first equation by 4 gives us: 4(-2x - 9y) = 4(19) -8x - 36y = 76 Now we have the two equations: -8x - 36y = 76 8x - 8y = -32Add Equations to Eliminate x: Add the two equations together to eliminate x. (-8x - 36y) + (8x - 8y) = 76 + (-32) The x terms cancel out, and we are left with: -36y - 8y = 76 - 32 -44y = 44Solve for y: Solve for y. Divide both sides by -44 to find the value of y: y = 44 / -44 y = -1Substitute and Solve for x: Substitute the value of y back into one of the original equations to solve for x. We can use the first equation for this purpose: -2x - 9(-1) = 19 -2x + 9 = 19Solve for x. Subtract 9 from both sides to isolate the term with x: -2x = 19 - 9 -2x = 10 Now, divide both sides by -2 to find the value of x: x = 10 / -2 x = -5

Find the solution of the system of equations. $\newline$ $\begin{aligned} -2 x-9 y & =19 \\ 8 x-8 y & =-32 \end{aligned}$ $\newline$ Submit Answer

Full solution

More problems from Write an equation word problem

Related topics

Find the solution of the system of equations.\newline−2x−9yamp;=198x−8yamp;=−32 \begin{aligned} -2 x-9 y &amp; =19 \\ 8 x-8 y &amp; =-32 \end{aligned} −2x−9y8x−8y​amp;=19amp;=−32​\newlineSubmit Answer

Find the solution of the system of equations. $\newline$ $\begin{aligned} -2 x-9 y & =19 \\ 8 x-8 y & =-32 \end{aligned}$ $\newline$ Submit Answer