The first equation of the system is multiplied by 2.By what number would you multiply the second equation to eliminate the x var

Question

irakobra [83]

3 years ago

12

The first equation of the system is multiplied by 2.By what number would you multiply the second equation to eliminate the x var

iable by adding? 6x - 5y = 21 4x + 7y = 15

Mathematics

2 answers:

Rama09 [41] · Answer 1 · 2022-09-30T03:07:47+03:00

Answer:

We have to multiply 4 with 3 to make it equal to 12.

Step-by-step explanation:

Given the two equations:

$6x - 5y = 21\\ 4x + 7y = 15$

In elimination method for solving two linear equations in two variables, one variable is eliminated by making the coefficients of the variable equal to each other and then the equations are subtracted from each other so that only one variable remains.

Here, we have to eliminate $x$ .

The coefficients are 6 and 4.

The least common multiple of 6 and 4 is 12.

So, we multiply 6 by 2 to make it equal to 12.

and we have to multiply 4 with 3 to make it equal to 12.

And then the two equation have to be subtracted from each other.