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6.05 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.8

8.EE.8

8.EE.8.b

Solve systems of two linear equations in two variables graphically, approximating when solutions are not integers. Solve simple cases by inspection.

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