Answer :
Answer:
True because when you substitute the x coordinate to find the value of y =4 and the coordinate is 4
Answer:
True
Step-by-step explanation:
[tex]\left \{ {{-2x-3y=-10} \atop {-3x+y=7}} \right.[/tex]
Rearrange like terms to the same side of the equation:
[tex]\left \{ {{-2x-3y=-10} \atop {y=7+3x}} \right.[/tex]
Substitute into one of the equations:
[tex]-2x-3(7+3x)=-10[/tex]
Apply the Distributive Property:
[tex]-2x-21-9x=-10[/tex]
Combine like terms:
[tex]-11x-21=-10[/tex]
Rearrange variables to the left side of the equation:
[tex]-11x=-10+21[/tex]
Calculate the sum or difference:
[tex]-11x=11[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]x=-\frac{11}{11}[/tex]
Cross out the common factor:
[tex]x=-1[/tex]
Substitute into one of the equations:
[tex]y=7+3[/tex] × [tex](-1)[/tex]
Calculate:
[tex]y=4[/tex]
The solution of the system is:
[tex]\left \{ {{x=-1} \atop {y=4}} \right.[/tex]
Express solutions in ordered pairs:
[tex](-1,4)[/tex]
Determine whether [tex](-1,4)[/tex] and [tex](-1,4)[/tex] are equivalent:
True