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The two equations are: x = 4y - 6 x - 3y = 4 Since we have the first equation solved for x, we can plug that into the second equation. (4y - 6) -3y = 4 Now that we only have y's we can solve for y. 4y - 3y - 6 = 4 y - 6 = 4 y = 10 Now that we have y = 10 we can plug that back into the first equation. x = 4(10) - 6 x = 40 - 6 x = 34 The two solutions are x = 34 and y = 10
So the answer is "(34, 10)"
Yep :)
Thanks! Can you help me with 3 more?
Sure, fire away
That was wrong @ttawney
You made a mistake when plugging in 4y+6 for x. You plugged in 4y-6 which got you a wrong end result.
Always make sure to check your work
So the answer isn't (34, 10)?
It wasn't. But the method @ttawney presented was correct, so why not try solving it yourself? (:
Good catch... The two equations are: x = 4y + 6 x - 3y = 4 Since we have the first equation solved for x, we can plug that into the second equation. (4y + 6) -3y = 4 Now that we only have y's we can solve for y. 4y - 3y + 6 = 4 y + 6 = 4 y = -2 Now that we have y = -2 we can plug that back into the first equation. x = 4(-2) - 6 x = - 8 - 6 x = -14 The two solutions are x = -14 and y = -2
@ttawney
You did the same thing @ttawney although this time it was when solving for x. It would be \[\large \sf x=4(-2)+6\]\[\large \sf x=-8+6\]\[\large \sf x=-2\]
So (-2, -14)?
@TheOutSmarter have you attempted solving the first one yourself? Is that how you are getting that answer?
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