The sum of two numbers iş -316. one number is 94 less than the other. find the numbers.

The sum of two numbers iş -316. One number is 94 less than the other. The numbers are -111 and -205

Solution:

Consider two numbers as “x” and “y”

Given that sum of two numbers is -316. Hence sum of “x” and “y” is -316

x + y = -316 --- eqn 1

given that one number is 94 less than the other. Let us consider “y” is 94 less than “x”. hence we get

y = x – 94 --- eqn 2

By substituting eqn 2 in eqn 1, we get

x + x -94 = -316

2x – 94 = -316

2x = -316 +94

2x = -222

x = -111  

By substituting the value of “x” in eqn 2, we get the value of “y”

y = -111-94 = -205

hence the two numbers are -111 and -205

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.