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A system of equations is shown below.

Equation A: 5x +9y = 12

Equation B: 4x – 3y = 8

Which method eliminates one of the variables?

1) Multiply equation A by and add the result

to equation B.

2) Multiply equation B by 3 and add the result to

equation A.

3) Multiply equation A by 2 and equation B by - 6

and add the results together.

4) Multiply equation B by 5 and equation A by 4

and add the results together.

1on

Respuesta :

seunkehinde

Multiply equation B by 3 and add the result to

equation A.

Option 2 is correct

Multiply equation B by 3 and add the result to A

How to Solve linear equations?

When we are given two equations we can solve them by eliminating one variable, and equating the value of one variable to another or by using a matrix.

How to Eliminate One Variable?

  • Let us assume two-equation ax+by = c and px+qy = d, now suppose we want to eliminate x from this two-equation, then we cross-multiply the x coefficients and then subtract them or add them considering the final coefficients of x, we multiply the equation by a multiple of their LCM
  • So multiplying equation ax+by= c by p we get: apx+bpy=pc similarly we mulitply (-a) in equation px+qy=d we get -apx-aqy= -ad
  • If we add the new equation we get y(bp-aq) = pc-ad and we have eliminated x successfully. for eliminating y we would have used coefficients of y.

Solving the question

If we want to eliminate y in the given equation we will, LCM of (9,3) is 9 we can multiply B by 3 and add to A.

Hence Option 2 is correct.

To learn more about the elimination of one variable refer to https://brainly.com/question/14589299

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