Question

The Elimination MethodSolve the following system of equations with the ELIMINATION METHOD,Write your answer as an Ordered Pair.If infinitely many solutions exist, enter (00).If no solution exists, enter DNESystem of EquationsSolution4x + 8y =68-12x + 3y = 39

Answer 1

(x, y) = (-1, 9)

Explanations:

Given the system of equations expressed as:

4x + 8y = 68 .......................... 1

-12x + 3y = 39 ......................... 2

Using elimination method

Multiply equation 1 by 3 and equation 2 by 1 to eliminate the "x" variable as shown:

4x + 8y =68 ........................ 1 * 3

-12x + 3y = 39 .................... 2 * 1

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12x + 24y = 204

-12x +3y = 39

Add the resulting equations to have;

24y + 3y = 204 + 39

27y = 243

y = 243/27

y = 9

Substitute y = 9 into equation 1 to solve for "x". From equation 1;

4x + 8y = 68

4x + 8(9) = 68

4x + 72 = 68

4x = 68 - 72

4x = -4

x = -4/4

x = -1

Therefore the solution to the system of equation is (-1, 9)