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High School
Algebra
Algebra I
Systems of equations

Recent questions in Systems of equations

Elias Hardy 2023-03-23

The weight of a bicycle is 7 kg 450 g. What is the weight of the bicycle in grams?
A. 7,450 g
B. 7,600 g
C. 7,810 g
D. 7,920 g

odveza6ad 2023-03-06

How to solve the system of equations $3 x + 2 y = 14$ and $y = x + 2$ by substitution?

xcopyv4n 2023-02-28

Determine the value of k so that the following linear equations have no solution: $(3 k + 1) x + 3 y - 2 = 0 (k^{2} + 1) x + (k - 2) y - 5 = 0$

Guadalupe Cooke 2023-02-16

to solve equations 2x/a+y/b=2 and x/a-y/b=4

Guillermo May 2023-02-04

Solve for x, y and z?
$\frac{5 x y}{x + y} = 6$

osadczyttq 2023-01-30

There are multiple chickens and rabbits in a cage. There are 72 heads and 200 feet inside of the cage. How many chickens and rabbits are in there?

Taniyah Hartman 2022-12-30

How to solve this system of equations: $y = x^{2} + 4 x - 2; y = 2 x + 1$ ?

adailymonthly7ve 2022-12-19

The system of equations sim, find missing
4x+5y=8
8x +_y=_

n3g2r46z 2022-12-17

Which of the systems of equations below could not be used to solve the following system for x and y? ${\begin{cases} 6 x + 4 y = 24 \\ - 2 x + 4 y = - 10 \end{cases}$
A. ${\begin{cases} 6 x + 4 y = 24 \\ 2 x - 4 y = 10 \end{cases}$
B. ${\begin{cases} 6 x + 4 y = 24 \\ - 4 x + 8 y = - 20 \end{cases}$
C. ${\begin{cases} 18 x + 12 y = 72 \\ - 6 x + 12 y = - 30 \end{cases}$
D. ${\begin{cases} 12 x + 8 y = 48 \\ - 4 x + 8 y = - 10 \end{cases}$

RyszardsJh 2022-12-05

BPM interacts through the ________ layer.
A data access
B presentation
C both of options
D none of the above

Jamir Summers 2022-12-05

To solve a system of equations, you need use substitution. $y = 3 x - 2, y = 2 x - 5$

Brenda Leach 2022-11-30

The opposite of squaring a number is division. False or True

VarceprewN3M 2022-11-28

Use back substitution to solve each of the following systems of equations:
a) $x_{1} - 3 x_{2} = 2 2 x^{2} = 6$
b) $x_{1} + x_{2} + x_{3} = 8 2 x_{2} + x_{3} = 5 3 x_{3} = 9$
c) $x_{1} + 2 x_{2} + 2 x_{3} + x_{4} = 5 3 x_{2} + x_{3} - 2 x_{4} = 1 - x_{3} + 2 x_{4} = - 1 4 x_{4} = 4$
d) $x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 5 2 x_{2} + x_{3} - 2 x_{4} + x_{5} = 1 4 x_{3} + x_{4} - 2 x_{5} = 1 x_{4} - 3 x_{5} = 0 2 x_{5} = 2$
Write out the coefficient matrix for each of the systems in first exercise.

Cecilia Wilson 2022-11-25

We have the equation y - 3x = -2
Select true or false
The system of equations has no solution
The system of equations has only one solution
The system of equations has infinitely many solutions
The point (-1,-5) is a solution to the system of equations
The two lines in the system of equations have the same slope

Brenda Leach 2022-11-24

Randy has $3.55 worth of dimes and quarters in his pocket. The number of dimes is four more than twice the number of quarters. Which system of equations can be used to find how many dimes (d) and quarters (q) Randy has in his pocket?

neudateaLp 2022-11-24

Let $a, b, c$ be nonzero real numbers and let $a^{2} - b^{2} = b c$ and $b^{2} - c^{2} = c a$ . Prove that $a^{2} - c^{2} = a b$ .
The solution strategy given in the course was to scale the two given equations by $s = \frac{1}{c}$ , resulting in $a^{2} - b^{2} = b c$ becoming $a^{2} - b^{2} = b$ and $b^{2} - c^{2} = c a$ becoming $b^{2} - 1 = a$ . $c$ is basically being set to 1, but I don't understand the justification. Doesn't scaling by $\frac{1}{c}$ by definition not change the equations, since $(a / c)^{2} - (b / c)^{2} = (b / c) (c / c) ⟺ \frac{a^{2} - b^{2}}{c^{2}} = \frac{b c}{c^{2}} ⟺ a^{2} - b^{2} = b c$
Where is mistake?

aplaya4lyfeSS1 2022-11-23

Solve the system of equations $x^{2} = y^{3}, x^{y} = y^{x}$ in positive real numbers.

Jared Lowe 2022-11-20

Consider the following system of linear equations:
$x_{1} + 2 x_{2} + x_{3} - 2 x_{4} = 10$
$- x_{1} + 2 x_{2} + x_{3} - x_{4} = 6$
$+ x_{2} + x_{3} = 2$
Find all its canonical forms and basic solutions.

Rihanna Bentley 2022-11-19

Solve a system of two equations in which the existence of $l n (\frac{α}{α + β})$ function makes some limitations in iterations of the Newton-Raphson method.
$\begin{aligned} {\begin{cases} l n (\frac{α}{α + β}) - c_{s 1} + \sum_{i \in A} c_{i} (α^{- i} - (α + β)^{- i}) \\ l n (\frac{β}{α + β}) - c_{s 1} + \sum_{i \in A} c_{i} (β^{- i} - (α + β)^{- i}) \end{cases} \end{aligned}$

figoveck38 2022-11-18

Consider the following linear system
$\begin{matrix} (1) & x + 2 y + 2 z = 1 \end{matrix}$
$\begin{matrix} (2) & x + a y + 3 z = 3 \end{matrix}$
$\begin{matrix} (3) & x + 11 y + a z = b \end{matrix}$

In simple terms, systems of equations represent a special set of simultaneous equations where the equation system is used as a finite element. The trick here is to find common solutions, which is exactly what systems of equations solver must achieve. If this does not sound clear to you, take a look at some systems of equations answers below and see those with explanations. The solution will always come in three variables (namely, x, y, and z), which will represent your ordered triple. See systems of equations solutions for more examples of how it works in practice.

Algebra I

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