Question

Need to show my work

Answer 1

Explanation:

y = 3x/4 .........(1)

5x/2 + 2y = 5 .......(2)

Putting (1) into (2)

5x/2 + 2(3x/4) = 5

5x/2 + 3x/2 = 5

Multiply each term by 2

5x + 3x = 10

8x = 10

x = 10/8

x = 5/4

x = 1 1/4

And y = 3x/4

y = 3(5/4) ÷ 4

y = 15/4 ÷ 4

y = 15/(4×4)

y = 15/16

Answer 2

`\large\boxed{x=(5)/(4),\ y=(15)/(16)}`

Explanation:

`\left\{\begin{array}{ccc}y=(3)/(4)x&(1)\\(5)/(2)x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\(5)/(2)x+2\left((3)/(4)x\right)=5\\\\(5)/(2)x+(3)/(2)x=5\\\\(5+3)/(2)x=5\\\\(8)/(2)x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=(5)/(4)`

`\text{Put the value of}\ x\ \text{to (1)}\\\\y=(3)/(4)\cdot(5)/(4)\\\\y=(15)/(16)`