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1 year ago

If x + y = 2 and x - y = 6, solve for x and y.

Mathematics

1 answer:

anyanavicka [17]1 year ago

7 0

Answer:

Step-by-step explanation:

Givens

x + y = 2

x - y = 6

Solution

Just add the two equations together. The y's will drop out.

x + y = 2

<u>x - y = 6 </u> Add

2x = 8 Divide by 2

2x/2 = 8/2 Combine

x = 4 Substitute x = 4 into the top equation

x + y = 2

4 + y = 2 Subtract 4 from both sides

4-4+y=2-4 Combine

y = - 2

Answer

x = 4

y = -2

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Step-by-step explanation:

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3 years ago

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2 years ago

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Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

$y=k\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

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If we know that $b = 1$ , $x = 1$ and $y = 3$ , then we clear slope and solve the resulting expression:

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$k = \frac{3-1}{1}$

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Then, we conclude that point $M(x,y) = (1,3)$ belongs to the line $y = 2\cdot x +1$ , whose graph is presented below.

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