3 years ago

Solve the system of equations {3x-y=10, -x y=12} for Y

1 answer:

5 0

3x - y = 10 . . . (1)
-x + y = 12 . . . (2)

(1) + (2) => 2x = 22 => x = 22/2 = 11

From 2, -11 + y = 12 => y = 12 + 11 = 23

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The Cowboys High School Band Boosters are selling candy bars and chips at the basketball tournament to raise money for their ban

masya89 [10]

Answer:

They have 425 candy bars ready to sell.

Step-by-step explanation:

Let,

x be the number of candy bars ready to sell

y be the number of chips ready to sell

According to given statement;

x+y=575 Eqn 1

x+0.5y= 500 Eqn 2

Subtracting Eqn 2 from Eqn 1

(x+y)-(x+0.5y)=575-500

x+y-x-0.5y=75

0.5y = 75

Dividing both sides by 0.5

$\frac{0.5y}{0.5}=\frac{75}{0.5}\\y=150$

Putting y=150 in Eqn 1

x+150 = 575

x = 575-150

x = 425

Hence,

They have 425 candy bars ready to sell.

7 0

3 years ago

If you received a 5% raise and your final paycheck was 100(which includes your 5% raise), how much was your original paycheck?

Schach [20]

so you were earning say "x", so "x" is the 100% of your paycheck.

but you're da bomb and so you got a raise of 5%, so the new amount of your paycheck is 100% + 5%, so is 105% really, and we happen to know that is $100.

$\bf \begin{array}{ccll} \$&\%\\ \cline{1-2} 100&105\\ x&100 \end{array}\implies \cfrac{100}{x}=\cfrac{105}{100}\implies 10000=105x \\\\\\ \cfrac{10000}{105}=x\implies 95.238\approx x$