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soldier1979 [14.2K]
3 years ago
11

How do you solve 7x=-35 -8x+9y=4

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:x=-5 and y=-4

Step-by-step explanation:

7x=-35

-8x+9y=4

To get x

Divide equation one by 7

7x/7=-35/7

x=-5

Substitute for x in equation ii

-8(-5)+9y=4

40+9y=4

9y=4-40

9y=-36

y=-4

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!!PLEASE HELP ME ANSWER!!
Igoryamba

Answer:

x = \sqrt{w(w+z)}

Step-by-step explanation:

By the Pythagorean theorem, triangle BCD has

y^2 = x^2 - w^2

and triangle ABD has

v^2 = y^2 + z^2.

Substituting the first equation into the second equation for y^2 gives the equation

v^2 = (x^2 - w^2) + z^2

Now triangle ABC has

(w+z)^2 = x^2 + v^2

Expanding out the left side, w^2 + 2wz + z^2 = x^2 + v^2.

Now substitute the equation from before, v^2 = x^2 - w^2 + z^2, into the new equation.

w^2 + 2wz + z^2 = x^2 + (x^2 - w^2 + z^2)

w^2 + 2wz + z^2 =2x^2 - w^2 + z^2

We work to isolate x^2 by adding w^2 to both sides of equation and subtracting z^2 from both sides.

2w^2 + 2wz = 2x^2

Divide both sides by 2 and you get w^2 + wz = x^2

Assume that x is positive and square root both sides to get the final result of

x = \sqrt{w^2 + wz} = \sqrt{w(w+z)}

4 0
3 years ago
Chang will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an add
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Answer:

  • 450 miles
  • $117.50

Step-by-step explanation:

The difference in fixed cost is $9; the difference in per-mile cost is $0.02. The difference in per-mile cost will equal the difference in fixed cost for a distance of ...

   $9.00/($0.02/mi) = 450 mi

At that distance, the rental cost is ...

  $50 +450×$0.15 = $50 +67.50 = $117.50

Both plans will cost $117.50 for 450 miles of driving.

5 0
3 years ago
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