Question

Find the solution to the system
of equations.
y = x + 2 =
X
24-3-2-1
-4
3
1
-1
-2
-3
-4
123
234
y = -x
([?], [])
Entor

Answer 1

Answer:

(-2, 1)

Step-by-step explanation:

You can read the solution from graph. The solution is where the two lines intersect. That happens in point (-2, 1).

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Alternative:

If you want to be sure, you can alway double check by solving the system of equations.

First equation: $y = \frac{1}{2}x + 2$

Second equation: $y = -\frac{1}{2}x$

Substituting y in first equation with y from second.

$y = \frac{1}{2}x + 2$

$-\frac{1}{2}x = \frac{1}{2}x + 2$

Adding $\frac{1}{2}x$ on both sides.

$-\frac{1}{2}x + \frac{1}{2}x = \frac{1}{2}x + 2 + \frac{1}{2}x$

$0 = 1x + 2$

$0 = x + 2$

$-2 = x$

Substituting x with -2.

$y = -\frac{1}{2}x$

$y = -\frac{1}{2}(-2)$

$y = 1$

As you see you get the same result as from reading the graph, (-2, 1).