Answer: This equation has <u>one solution.</u>
Steps:
2+4(3-4x) = 5x +9
First, we need to distribute to the terms inside the parentheses.
4 * 3 = 12 and 4 * -4= -16x
Our equation now looks like this:
2 + 12 - 16x = 5x + 9
We can now combine like terms. We have 2 like terms that we can combine:
2 + 12 + = 14
Our equation now looks like this:
-16x + 14 = 5x + 9
We can now use inverse operations to get rid of 5x. The inverse operation for addition is subtraction; so we subtract 5x on both sides. Remember, our goal is to isolate the x.
-16x + 14 = 5x + 9
-5x -5x
The fives cancel out. Our equation now looks like this:
-21x + 14 = 9
We can now use inverse operations to get rid of the 14:
-21x + 14 = 9
- 14 -14
The fourteens cancel out. Our equation now looks like this:
-21x = -5
Last step! Now we use inverse operations to isolate the x. -21 is being multiplied by x; the inverse operation for multiplication is division.
-21x/-21 = and -5/-21 = 5/21
x is equal to 5/21.
Hope this helps!
Answer:
Slopes of parallel lines are equal
Step-by-step explanation:
On a coordinate plane, quadrilateral ABCD is shown. Point A is at (-2, -2), point B is at (-3, 4), point C is at (2, 2), and point D is at (3, -4).
The slope of the line segment BC is:
The slope of the line segment AD is:
The slope of the line segment CD is:
The slope of the line segment BA is:
Because the slopes of parallel lines are equal. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.
She did sell the newspapers for $.25 each at age 80. The equation is referred to as a linear equation in one variable if only one variable is present in the linear equation.
<h3>A linear equation is what?</h3>
It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The information provided in the issue is;
One newspaper will set you back $.25.
Other newspapers are $.40 each.
The 100 newspapers were purchased for $28.00.
x is the quantity of newspapers sold for $.25 each.
Y stands for the other newspaper's number.
The total of both newspapers is one hundred.
x+y=100
y=100-x
25x+ 40y=28.00
25x+40(100-x)=2800
25x+4000-40x=2800
-15x+4000=2800
-15x=-1200
x=80
She therefore sold 80 newspapers for $.25 each.
To know more about linear equation check this out:
brainly.com/question/11897796
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