Answer:
(x, y) ≈ (3.4, 1.8)
Step-by-step explanation:
See the attachment for the solution using GeoGebra. The point of intersection of the two lines is point E(3.39, 1.83).
<em><u>The equivalent expressions are:</u></em>
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
We have to find the equivalent expressions
By distributive property,
a(b + c) = ab + ac
Therefore,
Thus equivalent expressions are found
Answer:
(5 1/3)/7
Step-by-step explanation:
Divide 4 by 3, then times it by four and put it over the 7
Answer:
7 cm
Step-by-step explanation:
The formula for finding the area of a square is A = a^2 (where a is the side length).
So let's substitute the given values in.
49 = a^2
a = sqrt(49)
a = 7 cm <--- This is our answer
Hope this helps!
Answer:
see below
Step-by-step explanation:
6y = 12x + 26
15y = 45x + 60
First let's simplify these equations.
6y = 12x + 26
Divide each term by 6.
y = 2x + 26/6
Simplify the fraction.
26/6
= 13/3
Your simplified equation is:
y = 2x + 13/3
Let's simplify the other equation.
15y = 45x + 60
Divide each term by 15.
y = 3x + 4
These are your simplified equations.
y = 2x + 13/3
y = 3x + 4
We can see that the slope of the first equation is not equal to the slope of the second equation.
- equation 1: slope is 2 shown from 2x
- equation 2: slope is 3 shown from 3x
The y-intercept of the first equation is not equal to the y-intercept of the second equation.
- equation 1: y-intercept is 13/3 shown by + 13/3
- equation 2: y -intercept is 4 shown by + 4
Now we want to solve the equations.
Both equations are equal to y, so you can set them equal to each other.
2x + 13/3 = 3x + 4
Combine like terms.
1/3 = x
Plug x = 1/3 into both of the equations separately..
y = 2(1/3) + 13/3
y = 2/3 + 13/3
y = 15/3
y = 5
y = 3(1/3) + 4
y = 3/3 + 4
y = 1 + 4
y = 5
Your solution is (1/3, 5)
The system of equations has one solution.
Hope this helps!
