Our system of equations is:
y = x - 4
y = -x + 6
We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:
y = -x + 6
x - 4 = -x + 6
To simplify this equation, we first are going to add x to both sides of the equation.
2x - 4 = 6
Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.
2x = 10
Finally, we must divide both sides by 2, to get the variable x completely alone.
x = 5
To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.
y = x - 4
y = 5 - 4
y = 1
Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).
Hope this helps!
Answer:
1: 62
2: 118
3: 62
4: 118
Step-by-step explanation:
1 and 3 are opposite angles so they have the same measure. 2 and 1 are adjacent angles on a linear plane. since a line is 180 degrees and we know that one of the angles on this plane is 62, that means that angle 2 must be 180 - 62 which 118 degrees
Answer:
remove the bracket on the other side by multiplying 180 by (2-n)
subtract 360 from 1260 to remain with -180n on the other side
divide both sides by -180n
then n become -5
Answer: A
Step-by-step explanation:
To solve this problem, think of a coordinate plane. Look at the first x and y on the table. The x is zero and the y is 8. Now look at the answers. For x to be zero while y has a value would mean that it would have a y-intercept of 8. The only answer that has a y-intercept of that value is A.
To prove that A is the correct problem, try to do slope intercept with it. The slope is 9, so the y increases by 9 and the x increases by 1. 8 + 9 is 17, which is the second y. 0 + 1 is 1, which is the second x. So A must be the correct answer.
Answer:
50
Step-by-step explanation:
first angle = x
second angle = x+30
third angle = 4x
x + (x+30) + 4x = 180
6x + 30 = 180
6x = 180 - 30
6x = 150
x = 150:6
x = 50
