Solve system by elimination
6.
2x + 5y = 14
4x + 2 y = -4
​

x=−3 and y=4

Step-by-step explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

−2(2x+5y=14)

1(4x+2y=−4)

Becomes:

−4x−10y=−28

4x+2y=−4

Add these equations to eliminate x:

−8y=−32

Then solve−8y=−32for y:

−8y=−32

−8y

−8

=

−32

−8

(Divide both sides by -8)

y=4

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2x+5y=14

Substitute4foryin2x+5y=14:

2x+(5)(4)=14

2x+20=14(Simplify both sides of the equation)

2x+20+−20=14+−20(Add -20 to both sides)

2x=−6

2x

2

=

−6

2

(Divide both sides by 2)

x=−3

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 .

24+x=y

step-by-step explanation: