anonymous
  • anonymous
Sorry for being a pain :D Use the substitution method to solve the following system of equations. 4x − y = 3 7x − 9y = −2 (1, 1) (6, −3) (6, 1) (1, −3)
Mathematics
jamiebookeater
  • jamiebookeater
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Hero
  • Hero
Add y to both sides, then subtract 3 from both sides to isolate y in the first equation. Doing so gives: y = 4x - 3 The expression for y can be substituted into the second equation: 7x - 9y = -2 and after substitution we have 7x - 9(4x - 3) = -2 Now we simplify and solve for x: 7x - 36x + 27 = -2 (7 - 36)x + 27 = -2 -(36 - 7)x + 27 + 2 = 0 -(29)x + 29 = 0 29 = 29x 29/29 = x 1 = x Now plug the value for x back into the one of the original equations to get y.
anonymous
  • anonymous
I don't know how to get the Y... that's why im asking for help..
anonymous
  • anonymous
Do I do it the same way you got x?

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Hero
  • Hero
We isolated y earlier to get y = 4x - 3 If we substitute x = 1 into that equation, we get y.
anonymous
  • anonymous
Oh.. so its D
anonymous
  • anonymous
(1, -3)
Hero
  • Hero
y = 4(1) - 3 y = 4 - 3 y = 1 Therefore, the point is (1,1)
anonymous
  • anonymous
Im confused
Hero
  • Hero
Re-read it all over again, but slowly.

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