4.) 2(x-1)+3= 2x+1

Distribute the 2, multiply the 2 by x and -1.

2*x= 2x (all you need to do is put 2 in front of x)

2*-1= -2

2x-2+3= 2x+1

Combine like terms.

2x+1=2x+1

Subtract one on both sides.

2x=2x

Divide by 2 into both sides.

x=1

We can check this by plugging it in.

2(1-1)+3= 2(1)+1
2(0)+3= 2+1
0+3=3
3=3 <== this works

I hope this helps!
~kaikers

4 0

3 years ago

Peter have twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 stickers together. How many sticker

Varvara68 [4.7K]

Answer:

170

Step-by-step explanation:

The given relations can be used to write and solve an equation for the number of stickers Peter has.

<h3>Setup</h3>

Let p represent the number of stickers Peter has. That is twice as many as Joe, so Joe has (p/2) stickers. Joe has 40 more stickers than Emily, so the number of stickers Emily has is (p/2 -40).

The total number of stickers is 300:

p +p/2 +(p/2 -40) = 300

<h3>Solution</h3>

2p = 340 . . . . . . . . . . . . . . add 40, collect terms

p = 170 . . . . . . . . . . . divide by 2

Peter has 170 stickers.

<em>Additional comment</em>

Joe has 170/2 = 85 stickers. Emily has 85-40 = 45 stickers.

We could write three equations in three unknowns. Solving those using substitution would result in substantially the same equation that we have above. Or, such a system of equations could be solved using a calculator's matrix functions, as in the attachment.

p +j +e = 300

p -2j +0e = 0

0p +j -e = 40

4 0

1 year ago