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Fed [463]
3 years ago
7

Solve for x: 12x+5=3x+35

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

The answer would be 3.33.

Step-by-step explanation:

Simplifying 12x + 5 = 3x + 35

Reorder the terms: 5 + 12x = 3x + 35

Reorder the terms: 5 + 12x = 35 + 3x

Solving 5 + 12x = 35 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation. 5 + 12x + -3x = 35 + 3x + -3x

Combine like terms: 12x + -3x = 9x 5 + 9x = 35 + 3x + -3x

Combine like terms: 3x + -3x = 0 5 + 9x = 35 + 0 5 + 9x = 35

Add '-5' to each side of the equation. 5 + -5 + 9x = 35 + -5

Combine like terms: 5 + -5 = 0 0 + 9x = 35 + -5 9x = 35 + -5

Combine like terms: 35 + -5 = 30 9x = 30

Divide each side by '9'. x = 3.333333333

Simplifying x = 3.333333333

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17/3

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The graphed line shown below is y=-3x+6
Bezzdna [24]
<h2>Answer:</h2>

y=-3\left(x+6\right)

<h2>Step-by-step explanation:</h2>

From the given graph, we can know two points:

P_{1}(x_{1},y_{1})=(2,0) \ and \ P_{2}(x_{2},y_{2})=(1,3)

Using the slope intercept form of the equation of a line, we get:

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1}) \\ \\ y-0=\frac{3-0}{1-2}(x-2) \\ \\ y=-3(x-2) \\ \\ y=-3x+6

Where the slope is m=-3 and the y-intercept is b=6

From mathematics, we know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept. So, from the options, the second equation is:

y=-3(x+6)

And the slope intercept form of this equation is:

y=-3x-18

So the slope is m=-3 and the y-intercept is b=-18, the systems formed by these two equations has no solution.

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Step2247 [10]

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