anonymous
  • anonymous
Solve the system of equations algebraically. Please show the steps to your solution. 8x+2y=-2 y=-5x+1
Mathematics
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anonymous
  • anonymous
Solve the system of equations algebraically. Please show the steps to your solution. 8x+2y=-2 y=-5x+1
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Substitute the expression for y from the second equation into the first equation. You can then solve for x. Then substitute that value for x into the second equation to solve for y,
anonymous
  • anonymous
can you show me?
anonymous
  • anonymous
\[8x+2\left( -5x+1 \right)=-2\] Expand, collect up like terms and solve for x. Can you do thiat?

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anonymous
  • anonymous
x=2
anonymous
  • anonymous
Excellent. Now substitute x=2 into either of the given equations and solve for y. Hint: the second equation looks like it's easier to work with.
phi
  • phi
osprey is saying use y=-5x+1 with x=2
anonymous
  • anonymous
so y=-5*2+1?
anonymous
  • anonymous
Evaluate\[y=-5\left( 2 \right)+1\]
anonymous
  • anonymous
That's right. What do you get?
anonymous
  • anonymous
y=-9
anonymous
  • anonymous
Terrific. That's your answer! Well done.
anonymous
  • anonymous
thank yo u
anonymous
  • anonymous
The solution x=2, y=-9 works for both given equations. Pretty cool, eh? You're welcome.

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