Get Step-by-Step Solutions to Systems of Equations

High School
Algebra
Algebra I
Systems of equations

Recent questions in Systems of equations

nitraiddQ 2021-02-10

Solve the system:

${\begin{cases} - 2 x + y = 5 \\ - 6 x + 3 y = 21 \end{cases}$

Tazmin Horton 2021-02-10

Solve the system: ${\begin{cases} - 3 x + y = 2 \\ 9 x - 3 y = - 6 \end{cases}$

Burhan Hopper 2021-02-09

In a nonlinear system of equations or inequalities, ______ equation or inequality must be nonlinear.

sodni3 2021-02-09

Solve by substitution.
$y = - 2 x + 1$
$y = - 6 x - 11$

BenoguigoliB 2021-01-31

A roadside vegetable stand sells pumpkins for $5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins, and their sales totaled $98. Write and solve a system of equations to find how many pumpkins and quash they sold?

Globokim8 2021-01-31

Solve ${\begin{matrix} x & + & 2 y & = & 9 \\ y & = & - 2 x \end{matrix}$

sagnuhh 2021-01-30

Solve the following simultaneous equations. 3a+5b=26, a+5b=22

Burhan Hopper 2021-01-02

Solve the matrix equation: $4 [2 x, y, 3 z] + 3 [2, - 4, 6] = [20, - 4, 54]$

Efan Halliday 2020-12-28

Solve the system: ${\begin{cases} 3 x + y = 9 \\ 2 x - y = 1 \end{cases}$

FizeauV 2020-12-27

Solve ${\begin{matrix} x & + & 3 y & = & 8 \\ 2 y & = & x & + & 6 \end{matrix}$

Caelan 2020-12-03

Solve the matrix equation: $4 [\begin{matrix} 2 x \\ y \\ 3 z \end{matrix}] + 3 [\begin{matrix} 2 \\ - 4 \\ 6 \end{matrix}] = [\begin{matrix} 20 \\ - 4 \\ 54 \end{matrix}]$

Rivka Thorpe 2020-11-22

Solve: ${\begin{cases} 5 x - 4 y = - 5 \\ 3 x + y = 14 \end{cases}$

ddaeeric 2020-11-09

Write the equation of each circle
Radius of 8 , center at the intersection of $x + 2 y = 8$ and $2 x - 3 y = - 5$

Lewis Harvey 2020-11-08

a) Convert the following equations into matrix:
$x - y = 3$
$2 x + 3 y = 1$

CheemnCatelvew 2020-10-28

${\begin{cases} y = 15 + 3 x \\ y = 27 - 3 x \end{cases}$

CoormaBak9 2020-10-26

Solve the following system again using the addition method. Multiply the appropriate equation by the appropriate factor to eliminate p, and solve for c first.
$c + p = 30$
$47 c + 44 p = 1350$

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