The solution to the system of equations is (-4,7)
Explanation:
Given that the system of equations is [tex]x+y=3[/tex] and [tex]-x+y=11[/tex]
Using substitution method, we shall solve the system of equations.
From the equation [tex]x+y=3[/tex], let us determine the value of the y.
Thus, we have,
[tex]y=3-x[/tex]
Now, substituting [tex]y=3-x[/tex] in the equation [tex]-x+y=11[/tex], we get,
[tex]-x+3-x=11[/tex]
Adding the like terms, we get,
[tex]-2x+3=11[/tex]
Subtracting both sides by 3, we have,
[tex]-2x=8[/tex]
Dividing both sides by -2, we have,
[tex]x=-4[/tex]
Now, substituting [tex]x=-4[/tex] in the equation [tex]x+y=3[/tex], we get,
[tex]-4+y=3[/tex]
Adding both sides by 4, we get,
[tex]y=7[/tex]
Thus, the solution to the system of equations is (-4,7)
