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Solve the system of linear equations below using the elimination method. Write your answer as a coordinate point like the example with no spaces between numbers or characters. Example: (6,10)9x - 2y = -212x + 3y = 16*1 pointYour answer

Question

Solve the system of linear equations below using the elimination method. Write your answer as a coordinate point like the example with no spaces between numbers or characters. Example: (6,10)9x - 2y = -212x + 3y = 16*1 pointYour answer

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Solution

To solve the system of equations using the elimination method, follow these steps:

  1. The system of equations is:

    9x - 2y = -21 12x + 3y = 16

  2. Multiply the first equation by 3 and the second equation by 2 to make the coefficients of y the same in both equations:

    27x - 6y = -63 24x + 6y = 32

  3. Add the two equations together:

    51x = -31

  4. Solve for x by dividing both sides by 51:

    x = -31/51 = -0.607843137

  5. Substitute x = -0.607843137 into the first equation:

    9(-0.607843137) - 2y = -21 -5.470588235 - 2y = -21 -2y = -21 + 5.470588235 -2y = -15.529411765 y = -15.529411765 / -2 = 7.764705882

So, the solution to the system of equations is (-0.61, 7.76).

This problem has been solved

Similar Questions

Use the elimination method to find the x coordinate of the solution to the system.2x + 3y = 73x - y = 5

Louisa wants to use the elimination method to solve the system of equations shown below.  She decides to multiply the second equation by a number in order to eliminate the x terms.  What should Louisa multiply by and what is the new equation?3x + 4y = 40x + 6y = 18ResponsesLouisa should multiply by -3.  The result is -3x - 18y = - 54. Louisa should multiply by -3.  The result is -3x - 18y = - 54. Louisa should multiply by 3.  The result would be 3x + 18y = 18Louisa should multiply by 3.  The result would be 3x + 18y = 18Louisa should multiply by -3.  The result is -3x + 6y = 18.Louisa should multiply by -3.  The result is -3x + 6y = 18.Louisa should multiply by 3.  The result is 3x + 6y = 18.

Use elimination to solve the system of equations. 6x−2y=16𝑥-2𝑦=1 10x−2y=5

What would your first step look like if you were solving this system using the substitution method? DO NOT include spaces in your answer.y=6x+10𝑦=6𝑥+10 −2x+3y=−18−2𝑥+3𝑦=−18 == Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.(( ,, )

Which system has no solution?Responsesy=9x+6.25−18x+2y=12.5y is equal to 9 x plus 6 point 2 5; negative 18 x plus 2 y is equal to 12 point 5y=3x+9x+8y=12.3y is equal to 3 x plus 9; x plus 8 y is equal to 12 point 3y=4.5x−5−3x+2y=6y is equal to 4 point 5 x minus 5; negative 3 x plus 2 y is equal to 6y=−3x+86x+2y=−4.5

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