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labwork [276]
3 years ago
12

Eight times a number plus five another number is -13. The sum of the two numbers is 1. What are the numbers?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0
Eight *(a number) plus 5*(another number) is -13.

translates to:

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

The sum of (the number) and (the other number) is 1.

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.

We'll multiply the second equation by -8 so that the x's match up.

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

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,

\rm x=-6
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Combine these two equations together.

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Combine like terms.

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AleksandrR [38]
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3 years ago
Read 2 more answers
StartFraction 4 over 5 EndFraction = StartFraction 9 over x EndFraction?
scZoUnD [109]

Answer:

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6 0
3 years ago
When lines are parallel...
Otrada [13]

Answer:

1) Congruent

2) Supplementary

3) Congruent

4) Congruent

Step-by-step explanation:

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2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.

3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

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Find the area of the figure.( sides meet at right angles.)picture below
Tema [17]

You can divide the figure as follows:

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The area of the rectangles is 5x2=10 meters squared, while the area of the square is 2x2=4 meters squared.

So, the total area is 10+4=14 meters squared.

5 0
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