Question

The sum of two numbers is 11. The larger number is 1 less than twice the smaller number. What are the two numbers? Which equations can be used to express the problem as a system of two linear equations in slope-intercept form? Select all that apply.

Answer 1

Answer:

I know im late but the answers are

y = 2x –1

y = 11 – x

Step-by-step explanation:

Answer 2

The equations that can be used to express the problem as a system of two linear equations in slope-intercept form are:

y  =  -x  +  11....................(1)

y  =  2x  -  1...............(2)

The two numbers are 1/3 and 2/3

Let the smaller number be x

Let the larger number be y

The sum of the two numbers is 11

This can be interpreted mathematically as:

x  +  y   =  11

This can be expressed in slope-intercept form as:

y  =  -x  +  11....................(1)

The larger number is 1 less than twice the smaller number

This can be expressed mathematically in slope-intercept form as:

y  =  2x  -  1...............(2)

Equate equations (1) and (2)

-x  +  1   =  2x  -  1

2x  +  x  =  1  +  1

3x   =  2

x   =  2/3

Substitute x = 2/3 into equation (2)

y = 2(2/3) - 1

y = 4/3 - 1

y  =  1/3

The equations that can be used to express the problem as a system of two linear equations in slope-intercept form are:

y  =  -x  +  11....................(1)

y  =  2x  -  1...............(2)

The two numbers are 1/3 and 2/3

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