Question

Finding solutions to systems of equations Solve for x Solve for y

Answer 1

GIVEN DATA:

Damion opened the saving account with $100 initally and $20 weekly.

Horace opened the saving account with $500 initally and $10 weekly.

to find: After how many weeks the money will be same

the functions are,

Damion, money

$y=100+20x$

Horace money,

$y=500+10x$

let us solve the equation,

let us use the Substitution method

Substitute y=500+10x in y=100+20x;

we get,

500+10x=100+20x

400=10x

x=40

then,

y=100+20(40)

y=100+800

y=900

thus, x= 40 and y=900.

after 40 weeks they will have the same amount of $900.