Question

BRAINLIEST PLUS 30 points

Answer 1

Answer:

x = 4 and y =2

Step-by-step explanation:

Because we are given that x+3y = 10

and the perimeter gien is 54 cm so:

Subtract both sides that equal to 10 + 10 =20 from 54, we get:

54 -20 = 34

We got:

3x - y up and 7x - 2y down so when we add it together, we got:

10x -3y = left perimeter after subtract 20 = 34

We got:

x + 3y = 10 (1)

10x - 3y = 34 (2)

Add (1) and (2) together, we got:

11x = 34 +10

11x = 44

Divide both sides by 11, we got:

x = 4

We know now x = 4, change 4 into x + 3y =10 to get y so we got:

x + 3y =10

4 + 3y = 10

Subtract 4 from both sides, we got:

3y = 6

Divide both sides by 3, we got:

y = 2

So x = 4 and y =2

Hope this helped:3

Answer 2

You already know x+3y is 10 as they are both indicated as being the same on the diagram.

We then subtract 10 and 10 from the total perimeter, to figure out the top and bottom’s total length.

54-10-10=34

Now we add the top (3x-y) to the bottom (7x-2y) by collecting like terms.

3x-y+7x-2y=10x-3y

We form the simultaneous equation now.

x+3y=10
10x-3y=34

From here we can form a single equation.

x+3y+10x-3y=10+34

+3y and -3y cancel each other out so we now have:

x+10x=10+34
which is:
11x=44
Divide 44 by 11.
x=4

We now substitute x=4 into x+3y which we know equals 10.

(4)+3y=10
Subtract 10 by 4.
3y=6
Divide 6 by 3.
y=2

We now have the answer x=2 and y=4.