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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?

Respuesta :

y = x − 4 // * (-2) ( multiply by -2 )
y = 2x − 3

-2 y = -2 x + 8
y = 2x − 3
------------------ sum
-y = -2x + 2x +8 - 3
-y = 0 + 5  //x has been eliminated

answer: multiply by -2

The Mindy should multiplied the second equation with number 2 to elminate the x term and solve the system using the elimination method.

What is elemination method?

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

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

  • Multiply all the equation, with a number such that the one of the comon variable of both the equation gets the same coefficient.
  • Substract the equations to elminate one of the variable.
  • Solve the equation for remaining variable.
  • Substitude the value of this variable in any equation to find the value of other variable.

The system of equation, Mindy wants to solve using the elimination method are,

[tex]y = x - 4\\y = 2x - 3[/tex]

To perform the elemation method, the terms of varible of x in both the equation should be same.

The coefficient of x in second equation is 2. Thus, the equation y = x − 4  should be multiplied by 2 to eliminate x.

[tex]2y =2 (x - 4)\\2y =2x - 8[/tex]

Hence, the Mindy should multiplied the second equation with number 2 to elminate the x term and solve the system using the elimination method.

Learn more about the elemination method here;

https://brainly.com/question/826228