The number 220 is divided into two
parts such that the one part is four
greater than twice the other part. What
are the two parts?

The value of the first part is 72 and the value of the second part is 148 and this can be determined by forming the linear equation.

Given :

The number 220 is divided into two  parts such that the one part is four  greater than twice the other part.

The following steps can be used in order to determine the two parts:

Step 1 - Let the first part be 'x' and the second part be 'y'.

Step 2 - The linear equation that represents the sum of the two parts is:

x + y = 220

x = 220 - y    --- (1)

Step 3 - The linear equation that represents the situation "the one part is four  greater than twice the other part" is:

x = 4 + 2y  --- (2)

Step 4 - Substitute the value of 'x' in equation (2).

220 - y = 4 + 2y

216 = 3y

y = 72

Step 5 - Substitute the value of 'y' in equation (1).

x = 220 - 72

x = 148

For more information, refer to the link given below:

link

x = 148

y = 72

Step-by-step explanation:

220 = x + y

x = 4 + 2y

220 = 4 + 2y +y

220 = 4 + 3y

216 = 3y

y = 72

x = 220 - y

x = 220 -72 = 148

answer: options?

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3