Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
the system has one solution, name it.
1 answer:
Answer:
It has one solution (1,0)
Step-by-step explanation:
y = -2x + 2
y = 4x -4
Substitute the y's
4x - 4 = -2x + 2
Let's move the variables to one side
4x - 4 = -2x + 2
+2x +2x
6x - 4 = 2
Lets move the constant to the other side
6x - 4 = 2
+4 +4
6x = 6
Divide both sides by 6
6x/6 = 6/6
x = 1
Let go back to y = -2x + 2
Substitute the x with 1
y = -2(1) + 2
y = -2 + 2
y = 0
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It cost $5 for his brother's ticket.
Step-by-step explanation:
Let,
Micheal's ticket price= x
His brother ticket price = y
According to given statement;
x+y=12 Eqn 1
y = x-2 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 2;
Putting x=7 in Eqn 2
It cost $5 for his brother's ticket.
Keywords: linear equation, substitution method
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