2x + YS
= 7
1
62
2y = 5
Which would be a more helpful for solving the system: adding the two
equations or subtracting one from the other? Explain your reasoning.
Solve the system without graphing. Show your reasoning.

subtracting one from the other

Step-by-step explanation:

The equations are not well written. Let us assume the equations are:

2x + y = 7 1

2x + 2y = 5 2

Looking at the two equations, using elimination method will be the best way to go.

Since the coefficient of the variable x are the same, we can take the difference of both equation to cancel out the variable x and get y as shown;

(2x-2x) + (y-2y) = 7-5

0 - y = 2

y = -2

Note that you can only subtract if the coefficient of the variables in both equations have the same coefficient (same sign) and add if they have different signs

there is no grid

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is