Question

17. Solve for X and Y

Answer 1

x=39.5

y=6

Explanation:

2x-14+3y+7=90

2x+3y=97 (1)

2x-14=6y+29

2x-14-6y-29=0

2x-6y=43 (2)

(1)-(2)

(2x+3y=97)-(2x-6y=43)

->y=6

2x+3(6)=97

->x=39.5

Answer 2

`\sf x = (79)/(2) \textsf{ and } \sf y = (54)/(9)`

Explanation:

We have:

`\sf 2x - 14 = 6y + 29`

Since vertically opposite angle are equal.

solving for x.

`\sf 2x = 6y+29+14`

`\sf 2x = 6y + 43`

`\sf x = (6y+43)/(2)` ......[i]

Again,

`\sf 2x - 14+3y + 7 + 90 ^\circ = 180^\circ`

`\sf 6y+43 +3y =97`

9y = 97-43

9y =54

`\sf y = (54)/(9)`

again,

Substituting value of y in equation [i], we get

`\sf x = (6*(54)/(9)+43)/(2)`

`\sf x = (79)/(2)`

Therefore, value of
`\sf x = (79)/(2) \textsf{ and } \sf y = (54)/(9)`