Solve the word problems using systems.

the sum of two numbers is 842. the difference is 314. find the numbers.

The numbers are 578 and 264

Step-by-step explanation:

Let

x> the greater number

y> the smaller number

we know that

x+y=842 > equation A

x-y=314 > equation B

Adds equation A and equation B

x+y=842

x-y=314

x+x=842+314

2x=1,156

x=578

Find the value of y

578+y=842

y=842-578=264

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is