Solve the following equations 7(3x + 5) - x = 75

Mathematics

1 answer:

kirill115 [55]3 years ago

6 0

Answer:

x = 2

Step-by-step explanation:

7(3x + 5) - x = 75

1. Distributive property

multiply 7 by whatever is in the parenthesis

7*3x + 7*5 - x = 75

21x + 35 - x = 75

2. Combine like terms

21x - x = 20x

20x + 35 = 75

3. Subtract 35 on both sides

20x + 35 - 35 = 75 - 35

20x = 40

4. Divide both sides by 20 since u want to isolate the variable

20x/20 = 40/20

x = 2

And thats ur answer

Hope this helped!

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Step-by-step explanation:

1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x - 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x - 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.

2) When you know a point that the line must pass through and its slope, you can use point-slope form ( $y-y_1 = m (x - x_1)$ ) to write an equation. $x_1$ and $y_1$ represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for $x_1$ , and -6 for $y_1$ .