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2.18 Solving systems of equations with a variety of methods

Interactive practice questions

A system of equations is shown.

  • $5x+3y=15$5x+3y=15
  • $\frac{6y}{5}=10-4x$6y5=104x

What is the solution to the system?

$x=2,y=3$x=2,y=3

A

$x=\frac{10}{3},y=\frac{5}{2}$x=103,y=52

B

$x=\frac{5}{2},y=\frac{3}{5}$x=52,y=35

C

$x=2,y=\frac{5}{3}$x=2,y=53

D
Medium
1min

The graphical solution of a system of two linear equations can be described as:

Easy
< 1min

Consider the system of linear equations

$-3x-12y$3x12y $=$= $6$6
$-2x-4y$2x4y $=$= $-4$4
Easy
< 1min

Consider the system of linear equations

$4x+4y$4x+4y $=$= $6$6
$5x+3y$5x+3y $=$= $3$3
Easy
< 1min
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Outcomes

8.EE.C.8

Analyze and solve pairs of simultaneous linear equations.

8.EE.C.8.B

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

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