Solve the system of equations algebraically.
Please show the steps to your solution.

8x+2y=-2
y=-5x+1

Question

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

anonymous · Answer

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 · Answer

can you show me?

anonymous · Answer

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

anonymous · Answer

x=2

anonymous · Answer

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 · Answer

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

anonymous · Answer

so y=-5*2+1?

anonymous · Answer

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

anonymous · Answer

That's right. What do you get?

anonymous · Answer

y=-9

anonymous · Answer

Terrific. That's your answer! Well done.

anonymous · Answer

thank yo u

anonymous · Answer

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