## anonymous one year ago Solve the system of equations algebraically. Please show the steps to your solution. 8x+2y=-2 y=-5x+1

1. 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,

2. anonymous

can you show me?

3. anonymous

$8x+2\left( -5x+1 \right)=-2$ Expand, collect up like terms and solve for x. Can you do thiat?

4. anonymous

x=2

5. 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.

6. phi

osprey is saying use y=-5x+1 with x=2

7. anonymous

so y=-5*2+1?

8. anonymous

Evaluate$y=-5\left( 2 \right)+1$

9. anonymous

That's right. What do you get?

10. anonymous

y=-9

11. anonymous

12. anonymous

thank yo u

13. anonymous

The solution x=2, y=-9 works for both given equations. Pretty cool, eh? You're welcome.