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3 years ago

Can someone please help me: Slove 17+3(z-2)-11z=-7(z+2)+14

Mathematics

2 answers:

gayaneshka [121]3 years ago

4 0

Answer:

z = 11

Step-by-step explanation:

Simplifying

17 + 3(z + -2) + -11z = -7(z + 2) + 14

Reorder the terms:

17 + 3(-2 + z) + -11z = -7(z + 2) + 14

17 + (-2 * 3 + z * 3) + -11z = -7(z + 2) + 14

17 + (-6 + 3z) + -11z = -7(z + 2) + 14

Combine like terms: 17 + -6 = 11

11 + 3z + -11z = -7(z + 2) + 14

Combine like terms: 3z + -11z = -8z

11 + -8z = -7(z + 2) + 14

Reorder the terms:

11 + -8z = -7(2 + z) + 14

11 + -8z = (2 * -7 + z * -7) + 14

11 + -8z = (-14 + -7z) + 14

Reorder the terms:

11 + -8z = -14 + 14 + -7z

Combine like terms: -14 + 14 = 0

11 + -8z = 0 + -7z

11 + -8z = -7z

Solving

11 + -8z = -7z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '7z' to each side of the equation.

11 + -8z + 7z = -7z + 7z

Combine like terms: -8z + 7z = -1z

11 + -1z = -7z + 7z

Combine like terms: -7z + 7z = 0

11 + -1z = 0

Add '-11' to each side of the equation.

11 + -11 + -1z = 0 + -11

Combine like terms: 11 + -11 = 0

0 + -1z = 0 + -11

-1z = 0 + -11

Combine like terms: 0 + -11 = -11

-1z = -11

Divide each side by '-1'.

z = 11

Simplifying

z = 11

Cloud [144]3 years ago

4 0

Z equals 11 you’re welcome mark me brainliest

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URGENT! PLEASE ANSWER IF YOU ACTUALLY KNOW THE ANSWER!

Pie

Using translation concepts, the coordinates that will best represent point E′ are given by:

D. (11, 1).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule to find the image of a point (x,y) is given by:

(x, y) → (x + 8, y + 5).

Then, the rule to find the image E' of point E(3,-4) is given by:

(3,4 -> (3 + 8, -4 + 5) = (11,1).

Hence option D is correct.

More can be learned about translation concepts at brainly.com/question/4521517

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