Solve by substitution. i need the full work also. y=x-2 y=4x+1

x = -1

y = -3

Step-by-step explanation:

We can substitute the 2nd equation into the y of the first equation.

4x + 1 = x-2

Subtract x from both sides.

3x + 1 = -2

Subtract 1 from both sides.

3x = -3

x = -1

substitute this x value into the first equation

y = x - 2

y = -1 - 2 = -3

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

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 .