Solve for x. 8(x + 1) - 31x + 4) = 7(2 - x)

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

3 0

Answer: -8.5625

Step-by-step explanation:

Use the distributive property.... ex: 8(x+1)= 8x+1 (by multiplying both by 8)

8x+1-31x-124=14-7x

Combine like variables

-23x-123=14-7x

Bring like variables to the same side of the equation by changing the sign(+,-)

-16x=137

Divide -16 by both sides

x=-8.5625

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Using y=mx+b form:

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Now, plug in the coordinates:

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Graph the line whose y-intercept is -7 and whose x-intercept is 1

vesna_86 [32]

Answer:

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Step-by-step explanation:

We are given two points, the y - intercept and the x - intercept.

The y - intercept being: ( 0, -7 )

The x - intercept being: ( 1, 0 )

The equation of a line in slope - intercept form is:

y = mx + b, where m is the slope and b is the y - intercept.

We already have the y - intercept. So far we have:

y = mx - 7

What we're missing is the slope.

To find the slope, we can use this formula:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $x_{2}$ and $x_{1}$ are the x - coordinates of both points and $y_{2}$ and $x_{1}$ are the y - coordinates of both points.