Estimate the solutions to the system of equations.
Answer:
Option A
Step-by-step explanation:
7x - y = 7
x + 2y = 6
Subtract 2y from both sides;
x = -2y + 6
Lets substitute x;
7(-2y + 6) - y = 7
Distribute;
-14y + 42 - y = 7
-15y + 42 = 7
Subtract 42 from both sides;
-15y = -35
Divide both sides by -15
y = [tex]\frac{35}{15}=\frac{7}{3} = 2\frac{1}{3}[/tex]
Lets substitute y;
x + 2([tex]\frac{7}{3}[/tex]) = 6
x + [tex]\frac{14}{3}[/tex] = 6
Subtract [tex]\frac{14}{3}[/tex] from both sides;
x = [tex]-\frac{14}{3} +6=-\frac{14}{3}+\frac{6}{1}=\frac{-14+18}{3} =\frac{4}{3}=1\frac{1}{3}[/tex]