Question

2x + y = 3 x - 2y = -1 If equation two is multiplied by -2 and then the equations are added, the result is _____. -3y = 3 3y = 5 5y = 5

Answer 1

Answer:

5y=5

Step-by-step explanation:

Given equations

2x + y = 3      (i)

x - 2y = -1    (ii)

Multiplying equation (ii) by -2

Both sides of equation will be multiplies by -2.

-2(x-2y)= -2(-1)

The new equation will be

-2x+4y=2  => (iii)

Adding equation (iii)  with equation (i), adding respective sides of both equations

(2x+y)+(-2x+4y)=3+2

2x+y-2x+4y=5

5y=5

So, after multiplying equation (ii) by -2 and then adding it to the first equation will give 5y=5

Answer 2

Answer:

$5y=5$

Step-by-step explanation:

$2x + y = 3$

$x - 2y = -1$

If equation two is multiplied by -2, then the equation becomes

$x - 2y = -1$ times -2 becomes

$-2x + 4y = +2$

Now we add both equations

$2x + y = 3$

$-2x + 4y = +2$

----------------------------------

$0 + 5y = 5$

$5y=5$