# Get help with system of equations and inequalities

Recent questions in Equations and inequalities
Equations and inequalities

### We're given: Determine which of the following is greater: $$2x-y; 2y-x.$$

Equations and inequalities

### Find x and y, where 7x+4y=5; and $$\displaystyle-{x}-{\left(\frac{{4}}{{7}}\right)}{y}=-\frac{{5}}{{7}};$$

Equations and inequalities

### Find x, if $$\displaystyle\frac{x}{{2}}+\frac{x}{{5}}=\frac{2}{{3}}$$

Equations and inequalities

### Solve the inequality: $$\displaystyle{3}{x}^{{3}}-{3}{x}{<}{4}{x}^{{2}}-{4}$$

Equations and inequalities

### During a test by the editors of an auto magazine, the stopping distance s (in metres) of the MacPherson X-2 racing car conformed to the rule $$\displaystyle{s}={f{{\left({t}\right)}}}={40}{t}−{5}{t}{2}{\left({t}≥{0}\right)}$$ where t was the time (in seconds) after the brakes were applied. a. Find an expression for the car's velocity v at any time t. b. What was the car's velocity when the brakes were first applied? c. What was the car's stopping distance for that particular test? Hint: The stopping time is found by setting v=0.

Equations and inequalities

### Solve the following equation: $$\displaystyle\frac{{24}}{{15}}{x}+{2}=\frac{{34}}{{15}}$$

Equations and inequalities

### $$\displaystyle\sqrt{{{3}{y}+{2}}}={0}$$ Find y

Equations and inequalities

### Joe got $45 this week. It's$5 more than 2.5 times of his previous week's earnings. How much did he earn the past week?

Equations and inequalities

### A franchise sold goods for $1,579,593 in one year. That year, it sold for$445,432 more than half of what it spent. How much did the franchise spend?

Equations and inequalities

### Jack finishes a set at his job within 3 hours. With Sam's help, it only takes 1 hour. How much would it take Sam alone?

Equations and inequalities

### Find x and y, if $$\displaystyle{\left({6}+{i}\right)}{\left({x}+{y}{i}\right)}={2}$$ and, $$\displaystyle{i}^{{2}}=-{1}$$

Equations and inequalities

### $$\displaystyle\sqrt{{{3}{x}}}+\sqrt{{12}}=\frac{{{x}+{5}}}{\sqrt{{3}}}$$ Find x

Equations and inequalities

### An $828000 building's value is decreasing by$2300 a month. After how many years will the building be worth $690000? Equations and inequalities ANSWERED asked 2021-08-20 ### Allentown’s employment statistics show that 969 of its residents were unemployed last month. This is a decrease of 15% from the previous month. How many residents were unemployed in the previous month? Equations and inequalities ANSWERED asked 2021-08-20 ### A 32% trade discount on a camera represents a discount of$147.20 from the suggested retail price. What is the net price to the buyer?

Equations and inequalities

### Given: A parallelogram $$\displaystyle{X}{Y}{Z}{W},\overline{{{Y}{Z}}}={2}{b},\overline{{{Z}{W}}}={a}+{2},\overline{{{W}{X}}}={b}+{1},\overline{{{X}{Y}}}={3}{a}-{4}$$

Equations and inequalities

### Find all solutions of the given system of equations $$\displaystyle{\left\lbrace\begin{array}{ccccc} {6}{x}&-&{5}{y}&=&{7}\\{5}{x}&-&{6}{y}&=&-{7}\end{array}\right.}$$

Equations and inequalities

### If $$\displaystyle{2}\frac{{x}}{{3}}+\frac{{x}}{{2}}=\frac{{1}}{{6}}$$, then x=? A. $$\displaystyle\frac{{1}}{{30}}$$ B. $$\displaystyle\frac{{1}}{{15}}$$ C. $$\displaystyle\frac{{1}}{{7}}$$ D. $$\displaystyle\frac{{1}}{{5}}$$ E. $$\displaystyle\frac{{1}}{{3}}$$

Equations and inequalities