Y=-x+7 , y=x-1 and show your work Help !

Mathematics

1 answer:

Gelneren [198K]3 years ago

7 0

This is a system of equations. The best way to solve it is by realizing that you have two equations equal to y. Since y = y, it follows that $-x+7=x-1$ . Solving for x, you get 4.

$7=2x-1 \\ 8=2x \\ 4=x$

Then, substitute 4 into one of the original equations to find y.

$y=(4)-1=3$ .

The solution is $(4,3)$ . I have attached a graphical representation of the solution as well.

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AB=2y+1, BC=y+1,CD=7x-3,DA=3x what is x and y

sattari [20]

I attached the picture associated with this question.

Answer:
x = 2
y = 5

Explanation:
ABCD is a parallelogram. This means that each two opposite sides are equal.
This means that:
1- AB = CD
2y + 1 = 7x - 3 ...........> equation I
2- AD = BC
3x = y + 1
This can be rewritten as:
y = 3x - 1............> equation II

Substitute with equation II in equation I and solve for x as follows:
2y + 1 = 7x - 3 ...........> equation I
2(3x - 1) + 1 = 7x - 3
6x - 2 + 1 = 7x - 3
6x - 1 = 7x - 3
7x - 6x = -1 + 3
x = 2

Substitute with x in equation I to get y as follows:
y = 3x - 1
y = 3(2) - 1
y = 6 - 1
y = 5

Hope this helps :)