1.)solve for n:-7n-21=-63
my answer: n=3
is this correct? please explain
2.)identify the x and y int for te equation 3x-4y=12.
You'd know that n does not equal 3 by substituting it.
- 7 * 3 - 21 = -63
-21 - 21 = -42 (not -63)
-7n-21=-63
Add 21 to both sides.
-7n - 21 + 21 = -63 + 21
-7n = -42
n = -42 / -7
n = 6
n
1.) To solve for n in the equation -7n - 21 = -63, you will need to isolate the variable n.
Start by adding 21 to both sides of the equation: -7n - 21 + 21 = -63 + 21. This simplifies to -7n = -42.
Next, divide both sides by -7 to solve for n. -7n / -7 = -42 / -7. This simplifies to n = 6.
Therefore, the correct solution is n = 6, not n = 3.
Explanation: In this problem, we needed to solve for n by isolating the variable. To do this, we performed inverse operations on both sides of the equation. First, we added 21 to both sides to eliminate the -21 term. Then, we divided both sides by -7 to eliminate the -7 coefficient in front of n. This allowed us to solve for n and find the value of 6.
2.) To identify the x and y intercepts for the equation 3x - 4y = 12, you need to understand that the x-intercept is the point where the line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
To find the x-intercept, set y = 0 and solve for x. Plugging in y = 0 into the equation, we get 3x - 4(0) = 12, which simplifies to 3x = 12. Dividing both sides by 3, we find that x = 4. So the x-intercept is (4, 0).
To find the y-intercept, set x = 0 and solve for y. Plugging in x = 0 into the equation, we get 3(0) - 4y = 12, which simplifies to -4y = 12. Dividing both sides by -4, we find that y = -3. So the y-intercept is (0, -3).
Therefore, the x-intercept is (4, 0) and the y-intercept is (0, -3).