Solve the system of equations by elimination method. -3x-5y=-7 5x+3y=17

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Write Equations: Write down the system of equations. We have the following system of equations: -3x - 5y = -7 5x + 3y = 17 We need to eliminate one of the variables by combining the equations.Multiply Equations: Multiply each equation by a number that will make the coefficients of one of the variables opposites. To eliminate y, we can multiply the first equation by 3 and the second equation by 5, which will give us coefficients of -15 and 15 for y, respectively. 3(-3x - 5y) = 3(-7) 5(5x + 3y) = 5(17)Combine Equations: Perform the multiplication from Step 2. -9x - 15y = -21 25x + 15y = 85 Now we can add these two equations together to eliminate y.Add Equations: Add the two equations together to eliminate y. (-9x - 15y) + (25x + 15y) = -21 + 85 -9x + 25x = 64 16x = 64Solve for x: Solve for x. Divide both sides of the equation by 16 to find the value of x. 16x / 16 = 64 / 16 x = 4Substitute for y: Substitute the value of x back into one of the original equations to solve for y. We can use the first equation -3x - 5y = -7. Substitute x = 4 into the equation: -3(4) - 5y = -7 -12 - 5y = -7Solve for y: Solve for y. Add 12 to both sides of the equation to isolate the term with y. -5y = -7 + 12 -5y = 5 Now, divide both sides by -5 to find the value of y. y = 5 / -5 y = -1

Solve the system of equations by elimination method. $\newline$ $-3x-5y=-7$ $\newline$ $5x+3y=17$

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Solve the system of equations by elimination method.\newline−3x−5y=−7 -3x-5y=-7−3x−5y=−7\newline 5x+3y=175x+3y=17 5x+3y=17

Solve the system of equations by elimination method. $\newline$ $-3x-5y=-7$ $\newline$ $5x+3y=17$