Question

2021-08-04

Let x be the first number and yy be the second number.

The sum of three times a first number and twice a second number is 43 so:

\(\displaystyle{3}{x}+{2}{y}={43}{\left({1}\right)}\)

If the second number is subtracted from twice the first number, the result is -4 so:

\(\displaystyle{2}{x}−{y}=−{4}{\left({2}\right)}\)

Solve by substitution. Solve for yy using (2) to obtain (3):

\(\displaystyle{y}={2}{x}+{4}{\left({3}\right)}\)

Substitute (3) to (1) and solve for xx:

\(\displaystyle{3}{x}+{2}{\left({2}{x}+{4}\right)}={43}\)

\(\displaystyle{3}{x}+{4}{x}+{8}={43}\)

\(\displaystyle{7}{x}+{8}={43}\)

\(\displaystyle{7}{x}={35}\)

\(\displaystyle{x}={5}\)

Solve for yy using (3):

\(\displaystyle{y}={2}{\left({5}\right)}+{4}\)

\(\displaystyle{y}={14}\)

So, the numbers are 5 and 14.

asked 2020-10-18

The sum of three times a first number and twice a second number is 43. If the second number is subtracted from twice the first number, the result is -4. Find the numbers.

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\((i)(f \times g)(x)\ and\ (ii)(g \times f)(x)\).

Professor Harsh gave a test to his college algebra class and nobody got more than 80 points (out of 100) on the test.

One problem worth 8 points had insufficient data, so nobody could solve that problem.

The professor adjusted the grades for the class by

a. Increasing everyone's score by 10% and

b. Giving everyone 8 bonus points

c. x represents the original score of a student

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Eastside Golden Eagles scored 60 points on a combi: nation of two-polnt shots and three-point shots. If they made a total of 27 shots. how many of each kind of shot was made”?