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KatRina [158]
3 years ago
5

Find the solution to the following system of equations using substitution:

Mathematics
2 answers:
galina1969 [7]3 years ago
6 0

Answer:

x = 5 and y = 1

Step-by-step explanation:

x - 3y = 2 then x = 2 + 3y

Substituting x in: 2x + 5y = 15

2*(2 + 3y) + 5y = 15

4 + 6y + 5y = 15

11y = 15 - 4

11y = 11

y = 11/11

y = 1

Then

x = 2 + 3y

x = 2 + (3*1)

x = 2 + 3

x = 5

I hope it's clear

vichka [17]3 years ago
5 0

Answer:

x = 5

y =1

Step-by-step explanation:

following image will help you understand this:

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Please help me solve this.<br> 15x+8=-2+14x
Airida [17]

Answer:

x=-10

Step-by-step explanation:

15x+8=-2+14x

15x-14x=-2-8

x=-10

5 0
3 years ago
Which term describes the point where the three altitudes of a triangle intersect?
kumpel [21]

Answer: Option (B) is the correct answer.

Step-by-step explanation:

A point at which three altitudes of a triangle meet is known as orthocenter.

Whereas when a circle is inscribed in a triangle and it touches all the sides of a triangle then the center of circle is known as incenter.

When all the three medians of a triangle intersect each other then the point is known as centroid.

Circumcenter is a point where perpendicular bisectors on each side of a triangle bisect and this point is equidistant from all the vertices.



5 0
3 years ago
Read 2 more answers
Después de 15 meses de haber prestado un capital al 5% de rédito, tengo que pagar de interés Q468.75. ¿Qué capital se ha prestad
Aleonysh [2.5K]

The capital borrowed, or the principal when the interest was Q468.75 is <u>Q7500</u>.

The principal P, amount borrowed, at a certain rate of interest R%, for  a time of T years, giving an interest of I, can be calculated using the formula:

P = (I * 100)/(R * T).

In the question, we are asked to find the capital borrowed, that is, the principal, when the user pays Q468.75 after 15 months at 5% of income.

Thus, Interest (I) = Q468.75, rate of interest (R) = 5%, and time (T) = 15 months = 15/12 years = 1.25 years.

Thus, the principal P, can be calculated by substituting the values in the formula: P = (I * 100)/(R * T).

P = (468.75*100)/(5*1.25),

or, P = 46875/6.25,

or, P = 7500.

Thus, the capital borrowed, or the principal when the interest was Q468.75 is <u>Q7500</u>.

The provided question is in Spanish. The question in English is:

"After 15 months of having borrowed capital at 5% of income, I have to pay Q468.75 in interest. What capital has been borrowed?"

Learn more about Interest at

brainly.com/question/25793394

#SPJ1

5 0
1 year ago
Walt grew 10 cm in 1 year. He is now 1.6 m tall. How tall was he 1 year ago?
wlad13 [49]
10cm is the same as point 1 meter so 1.6 minus point 1 is 1.5

i hope this hp u
8 0
3 years ago
Read 2 more answers
Simplify each expression as much as possible, and rationalize denominators when applicable. √72=?
Misha Larkins [42]

Answer:

6√2

Step-by-step explanation:

Solving the given expression step by step:

72 = 2 × 2 × 2 × 3 × 3

Now for finding the square root we will make pair of two numbers of same values.

We have one pair of 2's and one pair of 3's and left one 2

Thus, √72 = 2 × 3 × √2 = 6√2

We rationalize denominator and change it into a simpler form as soon as possible.

3 0
3 years ago
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