Answer:
x = 9/25
y = 7/25
z = 4/25
Step-by-step explanation:
2x + y = 1 .......(1)
3y + z = 1 ........(2)
x + 4z = 1 ........(3)
Elimination 1 and 2
2x + y = 1 | ×3 |
3y + z = 1 | ×1 |
6x + 3y = 3
3y + z = 1
___________--
6x - z = 2 .............. (4)
Elimination 3 and 4
x + 4z = 1 | ×6 |
6x - z = 2 | ×1 |
6x + 24z = 6
6x - z = 2
___________--
25z = 4
z = 4/25
Elimination 3 and 4
x + 4z = 1 | ×1 |
6x - z = 2 | ×4 |
x + 4z = 1
24x - 4z = 8
___________+
25x = 9
x = 9/25
Subsitution 1
2x + y = 1
2(9/25) + y = 1
18/25 + y = 1
y = 1 - 18/25
y = 25/25 - 18/25
y = 7/25
Answer:
3
Step-by-step explanation:
the answer is 3, you can also search up the answers on the internet or use an online calculator
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Learn more:
You can learn more about the equations of the parallel lines in brainly.com/question/9527422
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Answer:
6 is the third one 7 is D
Step-by-step explanation:
hope this helps
if its wrong my bad
