Respuesta :
The solution of the two equations is [tex]x=-7[/tex] and [tex]y=2[/tex]
Explanation:
The two equations are [tex]y=x+9[/tex] and [tex]3x+8y=-5[/tex]
Let us determine the solution of the equation using substitution method.
Thus, substituting [tex]y=x+9[/tex] in the equation [tex]3x+8y=-5[/tex], we get,
[tex]3x+8(x+9)=-5[/tex]
Multiplying the terms within the bracket, we have,
[tex]3x+8x+72=-5[/tex]
Subtracting both sides of the equation by -72, we get,
[tex]11x=-77[/tex]
Dividing both sides of the equation by 11, we have,
[tex]x=-7[/tex]
Now, substituting [tex]x=-7[/tex] in the equation [tex]y=x+9[/tex], we get,
[tex]y=-7+9[/tex]
[tex]y=2[/tex]
Thus, the solution of the two equations is [tex]x=-7[/tex] and [tex]y=2[/tex]
Answer:
x= -7 and y= 2
Step-by-step explanation:
Given that y= x+9 ............(i)
3x+8y= -5 .........(ii)
required: the value of x and y
now take equation (i) above substitute into equation (ii), we get
3x+8(x+9)= -5
11x+72= -5
11x= -77 divide by 11, we get
x= -7
now from
y= x+9, but x= -7
y= -7+9= 2
y=2
therefore the value of x= -7 and y= 2
