Graph the system of linear equations. negative startfraction one-half endfraction y equals startfraction one-half endfraction x plus 5 and y equals 2 x plus 2.y = x + 5 and y = 2x + 2. the solution to the system is (, ).

The solution to the given system is (3,8).

Step-by-step explanation:

To draw a graph system for a linear equation,

Step 1: Consider two x values and draw a line joining the new points.

y = x + 5  ⇒1

y = 2x + 2  ⇒2

For both equations substitute two random values for x.

Let us Consider x=0 and x=10.

For equation 1,

y=x+5.                           y=x+5

y=0+5.                           y=10+5

y=5                                y=15

The new points for equation 1 are (0,5) and (10,15).

Draw a big straight line passing through these two points.

For equation 2,

y=2x+2.                         y=2x+2

y=0+2.                           y=20+2

y=2                                y=22.

The new points for equation 1 are (0,2) and (10,22).

Again, draw a big straight line passing through these two points.

Step 2: Mark the intercepting point and that will be the solution for the given system.

For this system, the solution is (3,8).

To check this answer equate both equations,

x+5=2x+2.

2x-x=5-2.

x=3.

Substitute x value in any of the equation,

y=3+5.

y=8.

So the resulted point is (3,8).

10 - 8 = -2

  8 - 6 = -2

etc, so -2 is the common difference

step-by-step explanation:

seven students earned $833 by shoveling snow. if they share the money equally, how much money will each student get

answer: each student earns $119

step-by-step explanation:

to find the answer you have to divide 833/7 which is 119