Answer:
(2,2)
Step-by-step explanation:
Given equations
x-3y=-4-------------------------------(1)
y=-3x+8.------------------------------(2)
Substitute 2 in 1. This means use the value of y in equation 1, to replace y
x-3(-3x+8)=-4------------------open brackets
x+9x-24=-4---------------------collect like terms
10x=-4+24
10x=20---------------------------divide by 10 both sides to get value of x
10x/10=20/10=2
x=2------------------------------use value of x in equation (2) to get value of y
y=-3x+8
y=-3(2)+8
y=-6+8=2
solutions
x=2, y=2
Answer:
8 and 5
Step-by-step explanation:
9514 1404 393
Answer:
B. 39°, 106°, 43°
Step-by-step explanation:
The sum of angle measures in a triangle is 180°. Then the sum of angle expressions will be 180.
(3x +1) +(11x -4) +(5x -7) = 180
19x -10 = 180 . . . . . collect terms
19x = 190 . . . . . . . . add 10
x = 10 . . . . . . . . . . . divide by 19
__
Then the three angle measures are ...
- 3·10 +1 = 31
- 11·10 -4 = 106
- 5·10 -7 = 43
The appropriate choice is ...
B. 31°, 106°, 43°
Step-by-step explanation:
the following things are clear : opposite sides are of equal length, the sum of all angles in a square, rectangle or general parallelogram is 360 degrees, and opposite angles are equal.
so,
y² + 7 = 32
y² = 25
y = 5
2y² = k
2×5² = k
50 = k
the opposite angle of 150 is also 150 degrees.
the opposite angle of x is also x.
so, we have as sum of angles
360 = 150 + 150 + x + x = 300 + 2x
60 = 2x
x = 30 degrees