ANSWER:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−2,−16)
Equation Form:
x= −2, y= −16
Answer:
- c = -4.5
- z = 20
- x = -12
- a = -4/7
Step-by-step explanation:
A way to do this that will always work is ...
- eliminate parenthses and collect terms
- subtract any constants from the left side
- subtract any variable terms from the right side
- divide by the coefficient of the variable
1.
- 8c -11 -6c = -2
- 2c -11 = -2
- 2c = 9
- c = 4.5
2.
- 3z +4 -2z -9 = 15
- z -5 = 15
- z = 20
3.
- 12 -4x +18 = 36 +4x +18 -6x
- 30 -4x = 54 -2x
- -4x = 24 -2x
- -2x = 24
- x = -12
4.
- 36a -9a -5 = 6a -17
- 27a -5 = 6a -17
- 27a = 6a -12
- 21a = -12
- a = -12/21 = -4/7
Parallel lines have the same slope.
So I plug in the -5 and -4
-4 = 1/2(-5) + b
-4 = -2.5 + b
b = -1.5
So I get y = 1/2x - 3/2
You substitute the y from the second eqaution to the y in the first equation
Answer:
83 degrees
Step-by-step explanation:
Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.
180 - 97 = 83 degrees
