The slope of the linear equation is 20 and the y-intercept is 150
<h3>What is a Slope?</h3>
Slope measures how steep a straight line is. It is described as rise over run.
The slope of the linear equation can be found as follows;
He opens the account with $150 and he plans to save $20 each week. Therefore,
let
x = number of weeks
Therefore,
where
y = amount in his account after x number of weeks.
Using the slope intercept equation,
<h3>Slope intercept equation:</h3>
where
m = slope
c = y-intercept
Therefore, the slope of the linear equation is 20 and the y-intercept is 150
learn more on slope here: brainly.com/question/8057577
Step-by-step explanation:
In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)
2.5(6-x) = 0
Open the bracket,
(2.5×6)-2.5x= 0
Collect like terms.
2.5x= 2.5×6
Divide both sides by the coefficient of x (2.5)
x = 6
So,
x= 6 is true.
.
Substituting 6 for x in the equation,
2.5(6-6)= 0
2.5•0 = 0
0= 0
Which is also true.
Answer:
The Answer is C
Step-by-step explanation:
3x-4y=5
2x+4y=-3
This equation is the answer to this problem because just by looking at it, you can immediately cancel out the y value and solve for x.
The other equations are wrong because their is extra work needed to eliminate the values.
Simplifying
12x + 10 + 3 + 8x = 0
Reorder the terms:
10 + 3 + 12x + 8x = 0
Combine like terms: 10 + 3 = 13
13 + 12x + 8x = 0
Combine like terms: 12x + 8x = 20x
13 + 20x = 0
Solving
13 + 20x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + 20x = 0 + -13
Combine like terms: 13 + -13 = 0
0 + 20x = 0 + -13
20x = 0 + -13
Combine like terms: 0 + -13 = -13
20x = -13
Divide each side by '20'.
x = -0.65
Simplifying
x = -0.65