2.161616
Fraction: 135101/62500
Mixed Number: 2 and 10101/62500
Hope this helps
Step-by-step explanation:
a. we simply subtract 3. from 2.
x + 2y + z = 15
- -3x + y + z = 2
--------------------------
4x + y 0 = 13
b. we multiply 3. by 3 and then subtract from 1.
2x - 4y + 3z = -7
- -9x + 3y + 3z = 6
-----------------------------
11x - 7y 0 = -13
c. we multiply the result of a. by 7, and then simply add a. and b., because the y terms have different signs already.
28x + 7y = 91
+ 11x - 7y = -13
--------------------------
39x 0 = 78
39x = 78
x = 2
d. we use this x = 2 in the result of a.
4×2 + y = 13
8 + y = 13
y = 5
e. using x = 2 and y = 5 in 2.
2 + 2×5 + z = 15
2 + 10 + z = 15
12 + z = 15
z = 3
the solution is therefore (2, 5, 3).
Plot the intercepts:
y=-1
x=?
to find the x intercept, you dont solve the equation as it is solved in the slope-intercept form. instead, you simply plug in 0 for y:
0=1/4x-4
0=1/4x-4+4
4=1/4x
4/1/4=1/4x
1/4=0.25
x=16
revise:
y=(0, -1)
x=(16,0)
graph the slope for y=-1/2x-1: start from say point (0,-1)
graph the slope for y=1/4x-4: start from say point (16,0) ; you can just ise the intercept (0,-4) since the graph is diluted small...anyways
the points intersect at (4, -3) so thats the solution to the equations
NOTE: when graphing slopes that are negative either the numerator or the denominator can be graphed negative. so I graphed the first equation with the numerator as the positive and the denominator as the negative : rise= 1 ; run: -2. once i got to the end of the provided graph i started from the -1 y-intercept again and graphed the equation using: rise=-1; run=2
*graphing messes me up, too*