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satela [25.4K]
2 years ago
5

Find a + b, 6a + 8b, |a|, and |a − b|

Mathematics
1 answer:
IrinaK [193]2 years ago
5 0

Answer:

a+b=(6,3)

6a+8b=(54,16)

a=(-3,4)

a-b=(-12,5)

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Eight times a number plus five another number is -13. The sum of the two numbers is 1. What are the numbers?
Pani-rosa [81]
Eight *(a number) plus 5*(another number) is -13.

translates to:

8(x) + 5(y) = -13

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translates to:

(x) + (y) = 1


We have a system of two equations involving two unknowns: x and y.

\rm 8x+5y=-13\\
~~x+~~y=~~~~1

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.

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When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

\rm -3y=-21

Divide by -3,

\rm y=7

Plug back into one of your original equations to find the value of x,

\rm x+y=1\\
x+7=1

Subtract 7,

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8 0
3 years ago
Find the equation of the straight line passing through the point (3, 5)
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Answer:

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