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Contact [7]
3 years ago
11

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

Mathematics
2 answers:
Ratling [72]3 years ago
5 0

Answer:

The Equation is

- 4 x - 11 = 2 (x - 3 x) + 13

→ - 4 x - 11= 2 x - 2* 3 x + 13⇒⇒Using Distributive property of multiplication over subtraction which is , A * (B - C) = A*B - A*C

Bringing variables on one side and Constants on another side

→ - 4 x - 2 x + 6 x = 13 +11

→ - 6 x + 6 x = 24

0 =24

which is not possible.

Hence this equation has no solution.

If you look at the equation in the way

L HS= - 4 x - 11

A= - 4 x -11

R H S = 2 *(x - 3 x) + 13

B= 2 * (- 2 x) +13

 = - 4 x + 13

Both L HS and R H S, if looked individually represent lines in two dimensional plane, having equal slopes and different Y intercept.

So, the two lines are parallel.

Parallel lines do not intersect.

So, the equation has no solution.

Allushta [10]3 years ago
4 0
-4x - 11 = 2(x - 3x) + 13
-4x - 11 = 2x - 6x + 13
-4x - 11 = -4x + 13
-4x + 4x = 13 + 11
0 = 24...incorrect......no solutions for this problem
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Synthetic division is quick and not difficult to learn. The number in the upper left box is the value of x you're evaluating the function for (1). The remaining numbers across the top are the coefficients of the polynomial in decreasing order by power (the way they are written in standard form). The number at lower left is the same as the number immediately above it—the leading coefficient of the polynomial.

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Erin’s car uses 6 gallons of gas for every 138 miles she drives.which equation could be used to find how many gallons,g, Erin ne
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The equation that could be used to find how many gallons Erin would need to drive 92 miles is 92 = 23g (option c)

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