Respuesta :

PallasAthena23
(-1,1)

The solution to the equation is the values that make both equations true. More simply put, it is where the two graphs intersect (cross). If we find the point where the two graphs both cross, we see the value is where x is -1 and y is 1, so the point is (-1,1).

We can also check this by plugging the values into the equations.

y = 2x + 3
1 = 2 * -1 + 3
1 = 1

y = -x
1 = -(-1)
1 = 1

Since both equations are true, the solution (-1,1) is correct.
eunice1234

Answer: (-1, 1)

Step-by-step explanation:

Method 1: Graphing

Since the graph is already given, we could directly refer to the intersecting point of the system of equations.

According to the graph, [ y = 2x + 3 ] and [ y = -x ] intersect at (-1, 1).

Therefore the solution is [tex]\Large\boxed{(-1,1)}[/tex]

Method 2: Substitution

Given equation

1) y = 2x + 3

2) y = -x

Substitute the y value in the 1) equation by the 2)

(-x) = 2x + 3

Add x on both sides

-x + x = 2x + 3 + x

0 = 3x + 3

Subtract 3 on both sides

0 - 3 = 3x + 3 - 3

-3 = 3x

Divide 3 on both sides

-3 / 3 = 3x / 3

x = -1

Substitute the x value into one of the equations to find the y value

y = -x

y = - (-1)

y = 1

Therefore, the solution is [tex]\Large\boxed{(-1,1)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

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