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tresset_1 [31]
3 years ago
14

Suppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes the equation true

Mathematics
2 answers:
Sonja [21]3 years ago
8 0

Answer:

a = 7

Step-by-step explanation:

mr Goodwill [35]3 years ago
4 0

Answer:

a=3

Step-by-step explanation:

So we have the equation:

4x-2(x+a)=8

And we want to find a such that x = 7 is a possible solution.

To do so, substitute 7 for x. Thus:

4(7)-2(7+a)=8

Multiply the left and distribute the right:

28-14-2a=8

Subtract:

14-2a=8

Subtract 14 from both sides:

-2a=-6

Divide by -2: "

a=3

So, the value of a is 3.

And our equation would be:

4x-2(x+3)=8

And we're done!

Edit: Incorrect Answer

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mario62 [17]
Y + 7 = 3x.....y = 3x - 7

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when ur variables cancel out and u r left with an incorrect statement, this means there is no solution because ur lines are parallel

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7n+2 = 4n+17 solve the equation
lions [1.4K]

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

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Hint: | Look for the difference of two identical terms.

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Hint: | Isolate terms with n to the left hand side.

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Hint: | Look for the difference of two identical terms.

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Hint: | Evaluate 17 - 2.

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Hint: | Divide both sides by a constant to simplify the equation.

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(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

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n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

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