Question

IMPOSSIBLE COMBO, ONLY GODS CAN SOLVE::

Answer 1

1) x-intercept: (15/4,0); y-intercept: (0,15/6)

2) Mother's present age: 30, Billy's age: 10, Jane's age: 2

Explanation:

1)

The equation of the line in this problem is

4x+6y−15=0

In order find  the x-intercept, we replace y=0 into the equation and we find the value of x. We get:

$4x+6(0)-15=0$

$4x-15=0$

$x=\frac{15}{4}$

And the y coordinate of this point is zero.

In order find  the y-intercept, we replace x=0 into the equation and we find the value of y. We get:

$4(0)+6y-15=0$

$6y-15=0$

$y=\frac{15}{6}$

And the x coordinate of this point is zero.

2)

To solve the problem, let's call:

b = age of Billy

j = age of Jane

m = age of the mother

Here we have:

- Billy is 5 times as old as Jane, so

b = 5j (1)

- The mother is 3 times as old as Billy, so

m = 3b (2)

- In 2 years from now, the mother will be 8 times as old as Jane, which means

m + 2 = 8 (j+2) (3)

where (j+2) is the age of Jane in 2 years from now.

Combining eq.(1) and (2) into (3), we get:

$m = 3(5j) = 15j$

$15j +2 = 8j+16$

$7j=14$

$j=\frac{14}{7}=2$

This is the age of Jane; so the age of the mother is:

$m=15j=15(2)=30$

And so, Billy's age is

$b=\frac{m}{3}=10$

Learn more about equations of lines:

brainly.com/question/3414323

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