Could someone please tell me how to work this simultaneous equation out, it is revision for a university exam.
y=3x+9
y=2x+7
Please show your workings.
Thanks.
y=3x+9
y=2x+7
Please show your workings.
Thanks.
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Both equations equal y, so set them equal to each other to solve for x.
3x + 9 = 2x + 7 (subtract 9 from both sides)
3x = 2x - 2 (subtract 2x from both sides)
x = -2
Now go back to one of the equations (it doesn't matter which) to solve for y.
y = 3x + 9
y = 3(-2) + 9
y = -6 + 9
y = 3
ANSWER: (-2, 3)
3x + 9 = 2x + 7 (subtract 9 from both sides)
3x = 2x - 2 (subtract 2x from both sides)
x = -2
Now go back to one of the equations (it doesn't matter which) to solve for y.
y = 3x + 9
y = 3(-2) + 9
y = -6 + 9
y = 3
ANSWER: (-2, 3)
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Subtract equation 2 from equation 1, you will have "y-y=3x-2x+9-(+7)" that will be 0=x+9-7(recall that -1*1=-1). Then 0=x+2(subtract 2 from both sides), you'll have x=-2. Likewise to solve for y, put 'x' into any of the eqns i.e y=3x+9, y=3(-2)+9, y=-6+9, y=3. X=-2 & y=3 CHECK{Y=3X+9, Y-3X=9, put y=3& x=-2 u'll have '3-3(-2)=9,3+6=9, 9=9.
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y=3x+9
y=2x+7
y=3x+9x2
y=2x+7x3
y=6x+9
y=6x+7
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y=2
y=2x+7
y=3x+9x2
y=2x+7x3
y=6x+9
y=6x+7
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y=2