Solve the system of equations graphically 3x-y=4, 2y+x=6

y=2 x=2  

Step-by-step explanation:

  x = -2y + 6

3•(-2y+6) - y = 4

  - 7y = -14

7y = 14

y = 2

x = -2y+6

   y = 2

x = -2(2)+6 = 2

x=2

Step-by-step explanation:

solve for y in both equations

subtract 3x from both sides

-y=4-3x

multiply the equation by -1

y=-1(4-3x)

subtract both sides by x

2y=6-x

divide both sides by 2

y=(6-x)/2

-1(3x-4)=(6-x)/2

-3x+4=(6-x)/2

multiply both sides by 2

-6x+8=6-x

add 6x to both sides and subtract 6 to both sides

2=x

put 2 back into x for y=(6-x)/2

y=2

Hope that helps :)

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step-by-step explanation: