use the matrix tool to solve the system of equations choose the correct ordered pair4x-y=10 and 8x+5y=34

Solution of the given system of equations

 x = 3 and  y= 2

Step-by-step explanation:

Step(i):-

Given system of equations are

                                      4x - y =  10 ...(i)

                                     8x +5y = 34...(ii)

The matrix form

                          A X = B

Step(ii):-

By using matrix inversion method

|A| = ad-b c = 4(5) - 8(-1) = 20+8 = 28

Given matrix

Inverse of the matrix

Step(iii):-

The solution of the given system of equations by using matrix inversion method

                     X = A⁻¹ B

Final answer:-

Solution of the given system   x = 3 and  y= 2

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 .