Question

Solve the system of equations.

Ex - 3y = 3
- 2x + y = 14
What number would you multiply the second equation
by in order to eliminate the x-terms when adding to the
first equation?
What number would you multiply the first equation by in
order to eliminate the y-terms when adding to the
second equation?

Answer 1

1/2 and 1/3 respectively.

Explanation:

Multiplying the second equation by 1/2 we have;

1/2 ( -2x. + y) = 14 * 1/2

-x + y/2 = 7--------------(3)

From (1); x- 3y =3

Adding eqn( 1) + (3)

( x- 3y =3) + (-x + y/2 = 7)

x-x -3y + y/2 = 3 + 7

-5y/2 = 10;

In order to eliminate y;

Multiplying eqn 1 by (1/3)

We have:

(1/3) (x- 3y= 3)

1/3 x - y =1-----------(4)

eqn(4) + (2)

[1/3 x - y = 1] + [-2x + y = 14]

1/3 x. -2x-y + y = 1 + 14

-5/3 x = 15

Answer 2

the answer is y= x+7

Explanation:

the answer is y= x+7 because you have to move the -2x over to where the 14 is and it becomes positive then you divide 2 by 2x and 14 by 2 then you get the answer