Respuesta :

bayosanuade

Answer:

[tex]x = 3[/tex] and [tex]y = 9[/tex]

Step-by-step explanation:

Given:

[tex]y = 2x + 3[/tex] .......................... equation i

[tex]y = -2x + 15[/tex] ........................ equation ii

since y is equals to the two functions , we can equate the two values of y . That is , equate equation i and ii , we have

[tex]2x + 3 = -2x + 15[/tex]

Add [tex]2x[/tex] to both sides , we have

[tex]2x + 2x + 3 = -2x + 2x + 15[/tex]

[tex]4x + 3 = 15[/tex]

subtract 3 from both sides , we have

[tex]4x = 12[/tex]

divide both sides by 4 , then

[tex]x = 3[/tex]

substitute [tex]x = 3[/tex] into equation i to get the value of y , that is

[tex]y = 2(3) +3[/tex]

[tex]y = 6 + 3[/tex]

[tex]y = 9[/tex]

Therefore :

[tex]x = 3[/tex] and [tex]y = 9[/tex]

abiolatolu90

Answer:

x =3 and y = 9

Step-by-step explanation:

This is a simultaneous equation

y = 2x + 3      is equation 1

y = -2x + 15    is equation 2

Using the elimination method, we will add the two equations together

Then, we will have

2y = 18

Note that y+y =2y, 2x+(-2x) = 0 and 3+15 =18

y = 18/2  (dividing both sides by 2)

Therefore, y = 9.

Since we know the value of y, we can substitute 9 for y in any of the equation.

Lets substitute 9 for y in equation 1, we will have

9 = 2x + 3

collecting like the like terms

9 - 3 = 2x

6 = 2x

if we divide both sides by the coefficient of x, which is 2, we will have

x = 6/2

x = 3

Therefore x = 3 and y = 9

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