Solve the system. (1) 5x + 2y = 5 (2) 3x - 4y = -23

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To solve the system of equations using the elimination method, first manipulate the equations to align the coefficients of one variable. Multiply the first equation by 3 and the second equation by 5 to facilitate elimination. This results in a new system where the coefficients of y can be eliminated. After eliminating y, solve for x using the resulting equation. Finally, substitute the value of x back into one of the original equations to find y.
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Explain the steps you would use to solve the following system of equations with the elimination method. Do not solve the system.

(1) 5x + 2y = 5

(2) 3x - 4y = -23
 
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(1) X 3 - (2) X 5 , you can get y. Similarly, you can get x.
 

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