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(08.05)
Mindy wants to solve the following system using the elimination method:

y = x − 4
y = 2x − 3

What number should the equation y = x − 4 be multiplied by to eliminate x?

−1
−2
−4
−6

Respuesta :

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In order to eliminate x, we need it to make it equal to the inverse of 2x, which is -2x.  So, you could multiply y = x - 4 by -2 to eliminate x.

The Mindy should multiply the equation  y=x-4 with number -2 to eliminate the x term and solve the system using the elimination method.

What is elimination method?

The elimination method is used to solve the system of equation and to find the values of unknown variable.

To solve the equations using the elimination method, follow the following steps-

  • Multiply all the equation, with a number such that the one of the common variable of both the equation gets the same coefficient.

  • Subtract the equations to eliminate one of the variable.

  • Solve the equation for remaining variable.

  • Substitute the value of this variable in any equation to find the value of other variable.

The system of equation given are

y = x-4      ------------ (1)

y= 2x - 3  -----------(2)

To perform the elimination method

The terms of variable of x in both the equation should be same.

The coefficient of x in second equation is 2.

Therefore the equation 1 should be multiplied by -2 to eliminate x.

2y = -2x - 8

y   = 2x - 3

Therefore  Mindy should multiply the equation  y= x-4 with number -2 to eliminate the x term and solve the system using the elimination method.

Learn more about the elimination method

https://brainly.com/question/14619835

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