Question

If point (-3‚ a+4) lies on the graph of the equation 3x= y+7 a. Then find the value of a . Also find the solution of the equation

Answer 1

Answer:

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Answer 2

Answer:

The value of $a$ is $-\frac{13}{8}$ and the solution of the equation is $24x=8y-91$

Step-by-step explanation:

Given linear equation is $3x=y+7a$

Now substitute the given value $x,y$  from the given coordinates that is $x=-3, y=a+4$

$3x=y+7a\\3(-3)=a+4+7a\\-9=4+8a\\-9-4=8a$

Further solving

$a=-\frac{13}{8}$

Now substitute the value of $a$ in the given linear equation to find the solution:

$3x=y+7(-\frac{13}{8} )\\3x=y-\frac{91}{8}\\24x=8y-91$

Therefore, the solution to the equation is $24x=8y-91$ when $a=-\frac{13}{8}$