<span>Statements | Reasons
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1. 4x=7(x-3) | 1. Given
2. 4x=7x-21 | 2. Distributive property of multiplication over subtraction
3. -3x=21 | 3. Subtraction property of equality
4. x=7 | 4. Division property of equality</span>
Answer:
d
Step-by-step explanation:
(5,-3) (-1,6)
y=mx+b
calculate m:
(-3-6)/(5-(-1)
=-9/6=-1.5
y=-1.5x+b
insert the (5, -3) point to calculate b:
-3=-1.5*5+b
-3=-7.5+b
4.5=b
b=the y intercept, so the line intercepts x=0 at y=4.5
Using a system of equations, it is found that the height of the TV is of 20 inches.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable h: The TV's height.
- Variable w: The TV's width.
The height of the screen of the tv is one half the width plus 5 inches, hence:
h = 0.5w + 5.
Since the width is of 30 inches:
h = 0.5 x 30 + 5 = 15 + 5 = 20.
The height of the TV is of 20 inches.
More can be learned about system of equations at brainly.com/question/24342899
Ok so our two variables will be:
x=age y=price
Our equation is:
y= -3000x + $25,635