Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16
Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37
The numbers are 16 and 37</span>
Answer: 8 pounds 10 ounces
Step-by-step explanation:
7 ± 1 ⇒ 8
2 ± 8 ⇒ 10
⇒ 8 pounds 10 ounces
Answer:
he earns about 120 bucks a week
Step-by-step explanation:
There are 168 hours in a week and, so if the hours in 5970 divided by 50 equals 119.4 (possibly irrelevant) but if he gets paid 5970 per year and works 0.57 hours per day (40 divided by 24) and works about 1.666_ days a week than that would equal 120.85
let's bear in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
so, let's do away with the denominators by multiplying both sides by the LCD of all fractions, in this case 6.
