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Irina-Kira [14]
2 years ago
15

Solve the equation for z 5z-8=32A. z=4B. z=4.8C. z=6D. z=8​

Mathematics
2 answers:
nadezda [96]2 years ago
5 0

Answer:

Z=8 is the answer

Step-by-step explanation:

first, you add 8 to both sides which leaves you with 5z=40. then after that you divide both sides by 5 which leaves you with 5/5z = 40/5. then buy dividing 5 by 5 its leaves you with 1 which is equal to z because blank variables equal 1. On the other side if the equation 40 by 5 is 8 so that leaves you with z=8

Ulleksa [173]2 years ago
4 0

Step-by-step explanation:

\tt{5z - 8 = 32}

We want to remove the 8 first.

Step 1 : Since the original equation is minus 8 , we are going to use the opposite operation and add 8 to both sides.

⟶ \tt{5z - 8 + 8 = 32 + 8}

Simplify -8 + 8 = 0 on the left. 32 + 8 = 40 on the right. Then we need to think about how to remove the coefficient 5.

⟶ \tt{5z = 40}

Step 2 : Since the opposite of multiplication is division , we are going to divide both sides by 5.

⟶ \tt{ \frac{5z}{5}  =  \frac{40}{5}}

Simplify. 5 / 5 = 1 on the left. 40/5 = 8 on the right. So , our answer is z = 8.

⟶ \tt{z = 8}

\pink{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt{z = 8}}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

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Step-by-step explanation:

Solve for x:

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = 0

Simplify and substitute y = 4 - x.

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = -434 + 257 (4 - x) - 37 (4 - x)^2

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Divide both sides by -37:

y^2 - (257 y)/37 + 434/37 = 0

Subtract 434/37 from both sides:

y^2 - (257 y)/37 = -434/37

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Write the left hand side as a square:

(y - 257/74)^2 = 1817/5476

Take the square root of both sides:

y - 257/74 = sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

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Substitute back for y = 4 - x:

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Subtract 4 from both sides:

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Multiply both sides by -1:

x = 39/74 - sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

x = 39/74 - sqrt(1817)/74 or y = 257/74 - sqrt(1817)/74

Substitute back for y = 4 - x:

x = 39/74 - sqrt(1817)/74 or 4 - x = 257/74 - sqrt(1817)/74

Subtract 4 from both sides:

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Multiply both sides by -1:

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