Question

I cant work this one out, help please

Answer 1

a = 8 2/3.

Explanation:

The y coordinate of the point is 5, andthe x coordinate is a so substituting for these in the given equation:

3a - 4(5) = 6

3a - 20 = 6

3a = 26

a = 26/3

= 8 2/3

Answer 2

`\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}`

here , we've been given a point with coordinates ( a , 5 ) and an equation ( 3x - 4y = 6 ).

• To determine - the value of a

Coordinate geometry deals with parameters related to points over cartesian plane , where a points , say G , has two coordinates x and y.

the coordinates are written as ( x , y ) , where x is the x coordinate or abcissa and y is the y coordinate or ordinate.

for getting the solution to the question asked , let us think of x as a and y as 5.

Now ,

substituting the values of x and y in the equation ,

`3x - 4y = 6 \\ \implies \: 3(a) - 4(5) = 6 \\ \implies \: 3a - 2 = 6 \\ \implies \: 3a = 6 + 20 \\ \implies \: 3a = 26 \\ \implies \: a = (26)/(3)`

let's once check , if we've arrived at the correct result or no.

This can be done , by putting value of x as
`(26)/(3)\\` which is the value of a.

So ,

`3x - 4y = 6 \\ \\ \implies \: \cancel3 ((26)/(\cancel3) ) - 4(5) = 6\\ \\ \implies26 - 20 = 6 \\ \\ \implies \: 6 = 6`

hence , verified !

Therefore ,

`\bold\red{a = (26)/(3) }\\`

hope helpful :D