Solve the system of linear equations in two variables by elimination or substitution. 2x + 4y = 4
2x - y=1

x = 0.8    y = 0.6

Step-by-step explanation:

Solve one of the equations for a single variable, I chose the 2nd equation and solved for the variable y and I got y = 2x -1.

Next plug in the value for y into the 1st equation, I got :

2x + 4 ( 2x - 1) = 4

Next solve for x by first distributing the 4 to the (2x-1), this becomes (8x -4) then add like terms and move the -4 to the other side of the equation by addition. I got 10x =8 then I divided 8/10 to solve for x and I got 0.8.

Now plug the value 0.8 in for x in the 2nd equation : 2*(0.8) - y = 1

Then solve for y by subtracting 2*(0.8) or 1.6 from 1 and I got -0.6, lastly divide by -1 to solve for y.

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 .