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pls note that this is simultaneous equations and show full working out. also hint, the answer is x equal three cm and y equal five cm.

The top and bottom of the rectangle need to be equal and the two sides also need to be equal.

Set the equations to equal each other and solve for the letter.

Top and bottom:

3x-5 = x +1

Subtract 1x from each side:

2x -5 = 1

Add 5 to both sides:

2x = 6

Divide both sides by 2:

x = 6/2

X = 3

SIdes:

Now you know what X is replace x in the left side equation and solve:

2x-4 = 2(3) -4 = 6-4 = 2

The left side = 2, so the right side also needs to equal 2:

y-3 = 2

Add 3 to both sides:

y = 5

x = 3 and y = 5 and explanation below :)

Step-by-step explanation:

Because 2 side, up and down or right and left of the rectangle must be the same so we would have:

3x - 5 = x + 1

Subtract x from both side, we would get:

3x - x - 5 = x - x +1

2x - 5 = 1

Add 5 into both sides, we got:

2x - 5 + 5 = 1 + 5

2x = 6

Divide both sides by 2, we got:

2x / 2 = 6 / 2

x = 3

Becasue x = 3 and we know taht 2x - 4 = y - 3 so you can solve 2x - 4 first and then it would equal y -3

2x - 4

= 2 * 3 - 4

= 6 - 4

= 2

Because 2x - 4 = y -3

So y -3 = 2

Add 3 into both sides, we got:

y - 3 + 3 =2 + 3

y = 5

Hope this helped :3

its 69.420

step-by-step explanation: