Answer:
Exactly one solution
Explanation:
The first step we need to take to find the answer is to find the value of y.
7(y+3)=5y+8
Expand the parentheses
7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
7y=5y-13
Subtract both sides by 5y
7y-5y=5y-13-5y
2y=-13
Divide both sides by 2
2y/2=-13/2
y=-6.5
Now, we plug y back into the original equation.
7(y+3)=5y+8
7(-6.5+3)=5(-6.5)+8
Expand the parentheses
-45.5+21=-32.5+8
-24.5=-24.5
Because both sides of the equation is equal and the equation is true, we can conclude that the equation has one solution.
I hope this helps!
Answer:
I found this over the internet and hope it helps:
A rectangle is a quadrilateral with all four angles right angles. It follows form this that the opposite sides are parallel and of the same length. A square is a quadrilateral with all four angles right angles and all four sides of the same length.
Also note that a square is always a rectangle, but a rectangle is not always a square.
(I will do my best to entirely explain the subject) To understand Positives and Negatives you need to have a number line.
<u>-3 -2 -1 0 1 2 3</u>
Your whole life you have been using positives and negatives when you subtract or add a number. 9 - 2 is really just 9 + -2
With the number line it should be easier to understand that for every single time you add or take away you change the value. The more you take away (Negative numbers, 5 + -6) the farther down the value goes to the left, more towards the negative side (5 + -6 = -1). The same goes for addition (-6 + 9 = 3).
To multiply all you need to do is count how many times you see a negative number. If you see an even number of negatives then the answer will be positive because on the number line you went from one side to the other multiple times, left right left right and all that jazz. Hopefully i made this make more sense to you, if there is anything i need to clarify on please make it known so i can edit my answer.
Y = mx + c, where m is your gradient and c is your y intercept.
If the line is perpendicular to the line y = 3x - 5, the line's gradient = -(1/3) as when it comes to perpendicular bisector, m1/m2 = -1
y = -(1/3)x + C
To find C sub in x=2 and y=2 as it goes through (2,2)
2 = -(1/3)2 + C
2 = -(2/3) + C
2 + 2/3 = C
C = 8/3
There your equation of a line is
y = -(1/3)x + 8/3
<h3>Multiplication Property of Equality is the missing reason</h3>
<em><u>Solution:</u></em>
Given that,
five thirds times x plus 2 equals negative 3
Therefore,
<em><u>Multiplication Property of Equality</u></em>
The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal
Multiply both sides by 3
<em><u>Subtraction Property of Equality</u></em>
The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true
5x + 6 = -9
Subtract 6 from both sides
5x + 6 - 6 = -9 - 6
5x = -15
<em><u>Division Property of Equality</u></em>
The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true
5x = -15
Divide both sides by 5
x = -3
