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

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

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x