Simultneous Equation by Elimination Method

What is the primary goal of the method of elimination when solving simultaneous equations?

• To find the sum of the variables.

• To isolate one variable in each equation.

• To delete one variable by subtracting or adding equations.

• To graph the equations and find the intersection point.

To eliminate the 'y' variable in the given system of equations (3x + 2y = 7 and 5x - 3y = 37), what common coefficient should 'y' have in both equations?

• 2

• 3

• 5

• 6

What are the new equations after multiplying the first equation by 3 and the second equation by 2?

• 9x + 6y = 21 and 10x - 6y = 74

• 9x + 6y = 7 and 10x - 6y = 37

• 6x + 4y = 14 and 10x - 6y = 74

• 9x + 6y = 21 and 10x + 6y = 74

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After eliminating the 'y' variable, what is the value of 'x'?

• x = 3

• x = 5

• x = 7

• x = 9

What is the value of 'y' after substituting the found 'x' value back into one of the original equations?

• y = -2

• y = -4

• y = 2

• y = 4