Solve by elimination 3x+y=5 -2x-y=-10

(-5, 20)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

3x + y = 5

-2x - y = -10

Step 2: Solve for x

Elimination

Step 3: Solve for y

Step 4: Graph systems

Check the solution set and graph.

x = -5

y = 20

Step-by-step explanation:

3x + y = 5 ⇒ y = 5 - 3x

-2x - y = -10 ⇒ 2x + y = 10

2x + (5 - 3x) = 10

5 - x = 10

x = -5

Substitution of x-value into "y = 5 - 3x":

y = 5  - 3(-5)

y = 5 + 15

y = 20

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.