The solution to the system of equation is (-0.6, 1.6)
<h3>
System of linear equations</h3>
Given the system of linear equations as shown:
y = 2/3x+ 2 .................. 1
6x - 4y = -10................ 2
Substitute equation 1 into 2 to have:
6x - 4(2/3x + 2) = -10
6x - 8/3 x - 8 = -10
10/3 x = -2
10x = -6
x =-0.6
Determine the value of y
y = 2/3x + 2
y = 2/3 (-0.6) + 2
y = -0.4 + 2
y = 1.6
Hence the solution to the system of equation is (-0.6, 1.6)
Learn more on system of equation here: brainly.com/question/847634
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20 points, 20 degrees of freedom
4x+5
-4 -4
x+5-4
x=0
0=y
3+5-4
4
I believe this is how the equation is solved
Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do
and the student tickets sold were 2x the adult tickets, we can do
We can replace s in the first equation adding to 243 with 2a
Step 2:
Solve for a. We can divide both sides by 3.
Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!
And...
So, 81 must be the answer!