Question

NO LINKS!!! Please help me with this graph problem​

Answer 1

Answer + Step-by-step explanation:

let x be the age of Kevin

y be the age of his mother

a) We can convert the statement “the sum of their ages is 61” into the equation: x + y = 61

b) the coordinates of the intersection point are (15 , 46)

Interpretation:

The age of Kevin is 15

The age of Kevin’s mother is 46

Answer 2

Explanation:

Let,

• x = Kevin's age
• y = Kevin's mother's age

Given that,

Kevin's age + Mother's age = 61

x + y = 61
`\rightarrow` required equation for a)

`\rule{150pt}{2pt}`

Now, we have two equations.

y - 3x = 1 -------(1)

y + x = 61 --------(2)

On solving them (using the substitution method),

`\left. \begin{cases} { y-3x = 1 } \\ { y+x=61 } \end{cases} \right.`

Take ----(1)

`y-3x=1 \\y=3x+1`

Now, substitute the value of y in ----(2)

`y + x = 61\\3x+1+x=61 \\4x+1=61 \\4x=60 \\x = 15`

Substitute the value of x in -----(1),

`y=3* 15+1 \\y= 45+1\\y = 46`

So,

`\boxed{\bf\:x = 15, \:y = 46}`

Now, by graphing them (see the attachment), the point of intersection is O (15, 46). Hence, from this we can infer that, Kevin is 15 years old while his mother is 46 years old.
`\rightarrow` answer for b)

`\rule{150pt}{2pt}`